document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701287>Question 701287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve for x: x/(x-5)-2/(x+5)=50/(x^2-25)\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 #432359 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432359\">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-5%29-2%2F%28x%2B5%29=50%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"+x%2F%28x-5%29-2%2F%28x%2B5%29=50%2F%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....common denominator for <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;\" > and <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;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B5%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%28x%2B5%29%2F%28%28x%2B5%29%28x-5%29%29-2%28x-5%29%2F%28%28x-5%29%28x%2B5%29%29=50%2F%28x%5E2-25%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B5%29=%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B5%29=%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%28x%2B5%29-2%28x-5%29%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"+%28x%28x%2B5%29-2%28x-5%29%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%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%5E2%2B5x-2x%2B5%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"+%28x%5E2%2B5x-2x%2B5%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%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%5E2%2B3x%2B5%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"+%28x%5E2%2B3x%2B5%29%2F%28x%5E2-25%29%29=50%2F%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-25x%5E2%2B3x%5E3-75x%2B5x%5E2-125=50x%5E2-1250 ALIGN=MIDDLE  ALT=\"x%5E4-25x%5E2%2B3x%5E3-75x%2B5x%5E2-125=50x%5E2-1250\"   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=3x%28x%5E2-25%29%2B%28x%5E4-25x%5E2%29-%2845x%5E2-1125%29=0 ALIGN=MIDDLE  ALT=\"3x%28x%5E2-25%29%2B%28x%5E4-25x%5E2%29-%2845x%5E2-1125%29=0\"   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=3x%28x%5E2-25%29%2Bx%5E2%28x%5E2-25%29-45%28x%5E2-25%29=0 ALIGN=MIDDLE  ALT=\"3x%28x%5E2-25%29%2Bx%5E2%28x%5E2-25%29-45%28x%5E2-25%29=0\"   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%5E2-25%29%28x%5E2%2B3x-45%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-25%29%28x%5E2%2B3x-45%29=0\"   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-5%29%28x%2B5%29%28x%5E2%2B3x-45%29=0 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B5%29%28x%5E2%2B3x-45%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29=0 ALIGN=MIDDLE  ALT=\"%28x-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....=>...<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( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....=>...<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( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3x-45%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3x-45%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ...we need to use quadratic formula to find zeros\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-45%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-45%29+%29%29%2F%282%2A1%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+=+%28-3+%2B-+sqrt%28+9%2B180+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+9%2B180+%29%29%2F2+\"   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+=+%28-3+%2B-+sqrt%28+189+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+189+%29%29%2F2+\"   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+=+%28-3+%2B-+13.75%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+13.75%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B+13.75%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B+13.75%29%2F2+\"   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+=++10.75%2F2+ ALIGN=MIDDLE  ALT=\"x+=++10.75%2F2+\"   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+=+5.375+ ALIGN=MIDDLE  ALT=\"x+=+5.375+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+-+13.75%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+-+13.75%29%2F2+\"   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+=++-16.75%2F2+ ALIGN=MIDDLE  ALT=\"x+=++-16.75%2F2+\"   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+=+-8.375+ ALIGN=MIDDLE  ALT=\"x+=+-8.375+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your solutions are:\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;\" >\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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5.375+ ALIGN=MIDDLE  ALT=\"x+=+5.375+\"   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+=+-8.375+ ALIGN=MIDDLE  ALT=\"x+=+-8.375+\"   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=+graph%28+600%2C+600%2C+-10%2C10%2C+-410%2C+1250%2Ccircle%28-5%2C0%2C0.2%29%2C+%28x-5%29%28x%2B5%29%28x%5E2%2B3x-45%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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