document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191962>Question 191962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve\r<BR>\n" );
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document.write( "9/(x^2-36) + 2/(x-6) = 1/(x+6)\r<BR>\n" );
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document.write( "both parts of the equation are fractions, 9 is the numerator in the first fraction and 2 is the numerator in the second fraction, hopefully that makes sense \r<BR>\n" );
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document.write( "thank you soo much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144026 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=144026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28x%5E2-36%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"9%2F%28x%5E2-36%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%29+\"   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=9%2F%28%28x-6%29%28x%2B6%29%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"9%2F%28%28x-6%29%28x%2B6%29%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%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=cross%28%28x-6%29%28x%2B6%29%29%289%2F%28cross%28%28x-6%29%28x%2B6%29%29%29%29+%2B+cross%28%28x-6%29%29%28x%2B6%29%282%2Fcross%28%28x-6%29%29%29+=+%28x-6%29cross%28%28x%2B6%29%29%281%2Fcross%28%28x%2B6%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x%2B6%29 ALIGN=MIDDLE  ALT=\"%28x-6%29%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B2%28x%2B6%29=1%28x-6%29 ALIGN=MIDDLE  ALT=\"9%2B2%28x%2B6%29=1%28x-6%29\"   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=9%2B2x%2B12=x-6 ALIGN=MIDDLE  ALT=\"9%2B2x%2B12=x-6\"   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=2x%2B21=x-6 ALIGN=MIDDLE  ALT=\"2x%2B21=x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=x-6-21 ALIGN=MIDDLE  ALT=\"2x=x-6-21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   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=2x-x=-6-21 ALIGN=MIDDLE  ALT=\"2x-x=-6-21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=-6-21 ALIGN=MIDDLE  ALT=\"x=-6-21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-27 ALIGN=MIDDLE  ALT=\"x=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-27 ALIGN=MIDDLE  ALT=\"x=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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