document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127397>Question 127397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help. I am confused.\r<BR>\n" );
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document.write( "x/x+8-8/x-8=x^2+64/x^-64 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93340 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=93340\">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=x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%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=x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28%28x%2B8%29%28x-8%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28%28x%2B8%29%28x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-64 ALIGN=MIDDLE  ALT=\"x%5E2-64\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x-8%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here we can see that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x-8%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x-8%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=%28x%2B8%29%28x-8%29%28x%2Fcross%28x%2B8%29-8%2Fcross%28x-8%29%29=%28x%2B8%29%28x-8%29%28%28x%5E2%2B64%29%2Fcross%28%28x%2B8%29%28x-8%29%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=%28x%2B8%29%28x-8%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will eliminate the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-8%29-8%28x%2B8%29=x%5E2%2B64 ALIGN=MIDDLE  ALT=\"x%28x-8%29-8%28x%2B8%29=x%5E2%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-8x-64=x%5E2%2B64 ALIGN=MIDDLE  ALT=\"x%5E2-8x-8x-64=x%5E2%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-8x-64-x%5E2-64=0 ALIGN=MIDDLE  ALT=\"x%5E2-8x-8x-64-x%5E2-64=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides. Subtract 64 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x-128=0 ALIGN=MIDDLE  ALT=\"16x-128=0\"   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=16x=128 ALIGN=MIDDLE  ALT=\"16x=128\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 128 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28128%29%2F%2816%29 ALIGN=MIDDLE  ALT=\"x=%28128%29%2F%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 16 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So the possible answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "Now let's plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%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=x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B8%29-8%2F%28x-8%29=%28x%5E2%2B64%29%2F%28x%5E2-64%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=8%2F%288%2B8%29-8%2F%288-8%29=%28x%5E2%2B64%29%2F%288%5E2-64%29 ALIGN=MIDDLE  ALT=\"8%2F%288%2B8%29-8%2F%288-8%29=%28x%5E2%2B64%29%2F%288%5E2-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=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=8%2F16-8%2F0=%28x%5E2%2B64%29%2F0 ALIGN=MIDDLE  ALT=\"8%2F16-8%2F0=%28x%5E2%2B64%29%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "Since we have zero denominators, the possible solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <b>not</b> a solution.\r<BR>\n" );
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document.write( "So there are no solutions. </SPAN>\n" );
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