document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243596>Question 243596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: ((2x^2-8x-42)/(6x^2))/((x^2-9)/(x^2-3x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178439 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=178439\">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=%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2F%28%28x%5E2-9%29%2F%28x%5E2-3x%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2F%28%28x%5E2-9%29%2F%28x%5E2-3x%29%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=%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2A%28%28x%5E2-3x%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2A%28%28x%5E2-3x%29%2F%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2A%28x%2B3%29%2A%28x-7%29%29%2F%286x%5E2%29%29%28%28x%5E2-3x%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2A%28x%2B3%29%2A%28x-7%29%29%2F%286x%5E2%29%29%28%28x%5E2-3x%29%2F%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-8x-42 ALIGN=MIDDLE  ALT=\"2x%5E2-8x-42\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x%2B3%29%2A%28x-7%29 ALIGN=MIDDLE  ALT=\"2%2A%28x%2B3%29%2A%28x-7%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=%28%282%2A%28x%2B3%29%2A%28x-7%29%29%2F%282%2A3%2Ax%2Ax%29%29%28%28x%5E2-3x%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2 ALIGN=MIDDLE  ALT=\"6x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%2Ax%2Ax ALIGN=MIDDLE  ALT=\"2%2A3%2Ax%2Ax\"   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=%28%282%2A%28x%2B3%29%2A%28x-7%29%29%2F%282%2A3%2Ax%2Ax%29%29%28%28x%2A%28x-3%29%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x ALIGN=MIDDLE  ALT=\"x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"x%2A%28x-3%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=%28%282%2A%28x%2B3%29%2A%28x-7%29%29%2F%282%2A3%2Ax%2Ax%29%29%28%28x%2A%28x-3%29%29%2F%28%28x-3%29%2A%28x%2B3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9 ALIGN=MIDDLE  ALT=\"x%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2A%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2A%28x%2B3%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=%282%2Ax%2A%28x%2B3%29%2A%28x-7%29%28x-3%29%29%2F%282%2A3%2Ax%2Ax%28x-3%29%2A%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282%2Ax%2A%28x%2B3%29%2A%28x-7%29%28x-3%29%29%2F%282%2A3%2Ax%2Ax%28x-3%29%2A%28x%2B3%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=%28highlight%282%29%2Ahighlight%28x%29%2Ahighlight%28%28x%2B3%29%29%28x-7%29highlight%28%28x-3%29%29%29%2F%28highlight%282%29%2A3%2Ahighlight%28x%29%2Ax%2Ahighlight%28%28x-3%29%29highlight%28%28x%2B3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%282%29%2Across%28x%29%2Across%28%28x%2B3%29%29%28x-7%29cross%28%28x-3%29%29%29%2F%28cross%282%29%2A3%2Across%28x%29%2Ax%2Across%28%28x-3%29%29cross%28%28x%2B3%29%29%29 ALIGN=MIDDLE   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=%28x-7%29%2F%283x%29 ALIGN=MIDDLE  ALT=\"%28x-7%29%2F%283x%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=%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2F%28%28x%5E2-9%29%2F%28x%5E2-3x%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2F%28%28x%5E2-9%29%2F%28x%5E2-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%2F%283x%29 ALIGN=MIDDLE  ALT=\"%28x-7%29%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-8x-42%29%2F%286x%5E2%29%29%2F%28%28x%5E2-9%29%2F%28x%5E2-3x%29%29=%28x-7%29%2F%283x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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