document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189553>Question 189553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6 / x^2 -1    +     3 / x + 1\r<BR>\n" );
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document.write( "x + 2 / x^2 + 11x + 18       +      5 / x^2 - 3x -10  \r<BR>\n" );
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document.write( "1 / x -5   -    2 / x + 5    \r<BR>\n" );
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document.write( "x/2 + 8/3 = 1/6\r<BR>\n" );
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document.write( "6/x +3 = x + 8 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142229 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%5E2-1%29%2B3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%5E2-1%29%2B3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B1%29%28x-1%29%29%2B3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B1%29%28x-1%29%29%2B3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B1%29%28x-1%29%29%2B%283%28x-1%29%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B1%29%28x-1%29%29%2B%283%28x-1%29%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B1%29%28x-1%29%29%2B%283x-3%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B1%29%28x-1%29%29%2B%283x-3%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2B3x-3%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%286%2B3x-3%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%283x%2B3%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28x%2B1%29%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%283%28x%2B1%29%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283cross%28%28x%2B1%29%29%29%2F%28cross%28%28x%2B1%29%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%283cross%28%28x%2B1%29%29%29%2F%28cross%28%28x%2B1%29%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"3%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%5E2-1%29%2B3%2F%28x%2B1%29=3%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%5E2-1%29%2B3%2F%28x%2B1%29=3%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=========================================================================\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%5E2%2B11x%2B18%29%2B5%2F%28x%5E2-3x-10%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%5E2%2B11x%2B18%29%2B5%2F%28x%5E2-3x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28%28x%2B9%29%28x%2B2%29%29%2B5%2F%28x%5E2-3x-10%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28%28x%2B9%29%28x%2B2%29%29%2B5%2F%28x%5E2-3x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28%28x%2B9%29%28x%2B2%29%29%2B5%2F%28%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28%28x%2B9%29%28x%2B2%29%29%2B5%2F%28%28x-5%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%28x-5%29%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29%2B5%2F%28%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5 ALIGN=MIDDLE  ALT=\"x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x-10%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29%2B5%2F%28%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-3x-10%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29%2B5%2F%28%28x-5%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x-10%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29%2B%285%28x%2B9%29%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9 ALIGN=MIDDLE  ALT=\"x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x-10%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29%2B%285x%2B45%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x-10%2B5x%2B45%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-3x-10%2B5x%2B45%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2B35%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2B35%29%2F%28%28x%2B9%29%28x-5%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%5E2%2B11x%2B18%29%2B5%2F%28x%5E2-3x-10%29=%28x%5E2%2B2x%2B35%29%2F%28x%5E3%2B6x%5E2-37x-90%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-9 ALIGN=MIDDLE  ALT=\"x%3C%3E-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-5%29-2%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-5%29-2%2F%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%28x%2B5%29%29%2F%28%28x-5%29%28x%2B5%29%29-2%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%281%28x%2B5%29%29%2F%28%28x-5%29%28x%2B5%29%29-2%2F%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%2F%28%28x-5%29%28x%2B5%29%29-%282%28x-5%29%29%2F%28%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2F%28%28x-5%29%28x%2B5%29%29-%282%28x-5%29%29%2F%28%28x-5%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5 ALIGN=MIDDLE  ALT=\"x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%2F%28%28x-5%29%28x%2B5%29%29-%282x-10%29%2F%28%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2F%28%28x-5%29%28x%2B5%29%29-%282x-10%29%2F%28%28x-5%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5-%282x-10%29%29%2F%28%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B5-%282x-10%29%29%2F%28%28x-5%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5-2x%2B10%29%2F%28%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B5-2x%2B10%29%2F%28%28x-5%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%2B15%29%2F%28%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28-x%2B15%29%2F%28%28x-5%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-5%29-2%2F%28x%2B5%29=%28-x%2B15%29%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-5%29-2%2F%28x%2B5%29=%28-x%2B15%29%2F%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-5 ALIGN=MIDDLE  ALT=\"x%3C%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=========================================================================\r<BR>\n" );
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document.write( "# 4\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2%2B8%2F3=1%2F6 ALIGN=MIDDLE  ALT=\"x%2F2%2B8%2F3=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%286%29%5E3%28x%2Fcross%282%29%29%2Bcross%286%29%5E2%288%2Fcross%283%29%29=cross%286%29%281%2Fcross%286%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear any fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2%288%29=1 ALIGN=MIDDLE  ALT=\"3x%2B2%288%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B16=1 ALIGN=MIDDLE  ALT=\"3x%2B16=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=1-16 ALIGN=MIDDLE  ALT=\"3x=1-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-15 ALIGN=MIDDLE  ALT=\"3x=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-15%29%2F%283%29 ALIGN=MIDDLE  ALT=\"x=%28-15%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "----------------------------------------------------------------------\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=========================================================================\r<BR>\n" );
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document.write( "# 5\r<BR>\n" );
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document.write( "I'm assuming that the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx+%2B3+=+x+%2B+8 ALIGN=MIDDLE  ALT=\"6%2Fx+%2B3+=+x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >???\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx+%2B3+=+x+%2B+8 ALIGN=MIDDLE  ALT=\"6%2Fx+%2B3+=+x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28x%29%286%2Fcross%28x%29%29+%2B3x+=+x%2Ax+%2B+8%2Ax ALIGN=MIDDLE  ALT=\"cross%28x%29%286%2Fcross%28x%29%29+%2B3x+=+x%2Ax+%2B+8%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD \"x\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B3x+=+x%5E2+%2B+8x ALIGN=MIDDLE  ALT=\"6%2B3x+=+x%5E2+%2B+8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+8x-3x-6 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+8x-3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3x from both sides. Subtract 6 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+5x-6 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+5x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x%2B6%29%28x-1%29 ALIGN=MIDDLE  ALT=\"0=%28x%2B6%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=0 ALIGN=MIDDLE  ALT=\"x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=0 ALIGN=MIDDLE  ALT=\"x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set each factor equal to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for \"x\" in each case\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "----------------------------------\r<BR>\n" );
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document.write( "OR...\r<BR>\n" );
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document.write( "Is the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%2B3%29+=+x+%2B+8 ALIGN=MIDDLE  ALT=\"6%2F%28x%2B3%29+=+x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ????\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%2B3%29+=+x+%2B+8 ALIGN=MIDDLE  ALT=\"6%2F%28x%2B3%29+=+x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%28x%2B8%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"6+=+%28x%2B8%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+x%5E2%2B11x%2B24 ALIGN=MIDDLE  ALT=\"6+=+x%5E2%2B11x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2%2B11x%2B24-6 ALIGN=MIDDLE  ALT=\"0+=+x%5E2%2B11x%2B24-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides.\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2%2B11x%2B18 ALIGN=MIDDLE  ALT=\"0+=+x%5E2%2B11x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28x%2B9%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"0+=+%28x%2B9%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9=0 ALIGN=MIDDLE  ALT=\"x%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=0 ALIGN=MIDDLE  ALT=\"x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set each factor equal to zero\r<BR>\n" );
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document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for \"x\" in each case\r<BR>\n" );
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document.write( "\n" );
document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );