document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7751>Question 7751</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I can not find an answer to this,  I tried to factor but that did not turn out right. Please help.\r<BR>\n" );
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document.write( "(x+4)/(6x^2+5x-6)+(x)/(2x+3)= (x)/(3x-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4278 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=4278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok, here we go!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%286x%5E2%2B5x-6%29+%2B+x%2F%282x%2B3%29+=+x%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%286x%5E2%2B5x-6%29+%2B+x%2F%282x%2B3%29+=+x%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor the denominator of the 1st fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%282x%2B3%29%283x-2%29+%2B+x%2F%282x%2B3%29+=+x%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%282x%2B3%29%283x-2%29+%2B+x%2F%282x%2B3%29+=+x%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the two fractions on the left side.  Common denominator is (2x+3)(3x-2), so multiply the 2nd fraction by (3x-2)/(3x-2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%282x%2B3%29%283x-2%29+%2B+%283x-2%29%28x%29%2F%282x%2B3%29%283x-2%29+=+x%2F%283x-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Add 'em up.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%2B%283x-2%29x%29%2F%282x%2B3%29%283x-2%29+=+x%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%2B%283x-2%29x%29%2F%282x%2B3%29%283x-2%29+=+x%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2+-+x+%2B+4%29%2F%282x%2B3%29%283x-2%29+=+x%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"%283x%5E2+-+x+%2B+4%29%2F%282x%2B3%29%283x-2%29+=+x%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by (3x-2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2+-+x+%2B+4%29%2F%282x%2B3%29+=+x ALIGN=MIDDLE  ALT=\"%283x%5E2+-+x+%2B+4%29%2F%282x%2B3%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by (2x+3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+x+%2B+4+=+2x%5E2+%2B+3x ALIGN=MIDDLE  ALT=\"3x%5E2+-+x+%2B+4+=+2x%5E2+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and set equal to zero.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-4x+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-4x+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve the quadratic equation by factoring.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product principle.\r<BR>\n" );
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document.write( "x-2 = 0, then x = 2 \r<BR>\n" );
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document.write( "The solution is: a double root; x = 2\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F28+%2B+2%2F7+=+2%2F4 ALIGN=MIDDLE  ALT=\"6%2F28+%2B+2%2F7+=+2%2F4\"   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=6%2F28+%2B+8%2F28+=+14%2F28 ALIGN=MIDDLE  ALT=\"6%2F28+%2B+8%2F28+=+14%2F28\"   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=%286%2B8%29%2F28+=+14%2F28 ALIGN=MIDDLE  ALT=\"%286%2B8%29%2F28+=+14%2F28\"   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=14%2F28+=+14%2F28 ALIGN=MIDDLE  ALT=\"14%2F28+=+14%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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