document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75687>Question 75687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+4/x^3-3x^2-4x+12 + 3/x^2-5x+6 = 3x/x^2-4.\r<BR>\n" );
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document.write( "This problem is not working out for me, I come up with x^2+3x+8=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54391 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you mean: (a few brackets would help)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B4%29%29%2F%28%28x%5E3-3x%5E2-4x%2B12%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%29%2F%28%28x%5E3-3x%5E2-4x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28%28x%5E2-5x%2B6%29%29 ALIGN=MIDDLE  ALT=\"3%2F%28%28x%5E2-5x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%28%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "All the denominators will factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B4%29%29%2F%28%28x-2%29%28x%2B2%29%28x-3%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%29%2F%28%28x-2%29%28x%2B2%29%28x-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28%28x-3%29%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"3%2F%28%28x-3%29%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A common denominator is (x-2)(x+2)(x-3), multiply each term by this and you have:<BR>\n" );
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document.write( "(x+4) + 3(x+2) = 3x(x-3)<BR>\n" );
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document.write( "x + 4 + 3x + 6 = 3x^2 - 9x<BR>\n" );
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document.write( "4x + 10 = 3x^2 - 9x<BR>\n" );
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document.write( "Arrange as a quadratic equation:<BR>\n" );
document.write( "3x^2 - 9x - 4x - 10 = 0<BR>\n" );
document.write( "3x^2 - 13x - 10 = 0<BR>\n" );
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document.write( "This factors to:<BR>\n" );
document.write( "(3x + 2)(x -5) = 0<BR>\n" );
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document.write( "3x = -2<BR>\n" );
document.write( "x = -2/3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +5<BR>\n" );
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document.write( "I substituted 5 for x in the original equation and got equality,<BR>\n" );
document.write( "I'll let you check out the x = -2/3 solution <BR>\n" );
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