document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570645>Question 570645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation by factoring.\r<BR>\n" );
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document.write( "(2x/x+3)+(5/x)-4=(18/x^2+3x)<BR>\n" );
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document.write( "I have gotten this far with the problem....<BR>\n" );
document.write( "LCM = X(x+3) thus I have 2x^2+5x+15-4x^2-12=18--->-2x^2+5x+3=18--->-2x^2+5x-15=0\r<BR>\n" );
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document.write( "I think my problem is the (-2x^2) which I got from 2x^2-4x^2 and the (-4x^2) is from multiplying the LCM (x(x+3))to -4.\r<BR>\n" );
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document.write( "Could you show me where my error is?\r<BR>\n" );
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document.write( "Thank you \r<BR>\n" );
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document.write( "Kenneth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367725 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=367725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x%2B3%29%2B5%2Fx+-4+=+18%2F%28x%5E2%2B3x%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x%2B3%29%2B5%2Fx+-4+=+18%2F%28x%5E2%2B3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. The LCD is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x ALIGN=MIDDLE  ALT=\"x%5E2%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2%2B5x%2B15-4x%5E2-highlight%2812x%29%29%29%2F%28x%5E2%2B3x%29+=+18%2F%28x%5E2%2B3x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-7x%2B15+=+18 ALIGN=MIDDLE  ALT=\"-2x%5E2-7x%2B15+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 18 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-7x-3+=+0 ALIGN=MIDDLE  ALT=\"-2x%5E2-7x-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by -1 to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B7x%2B3+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B7x%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%28x%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%28x%2B3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1+=+0 ALIGN=MIDDLE  ALT=\"2x%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3+=+0 ALIGN=MIDDLE  ALT=\"x%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F2 ALIGN=MIDDLE  ALT=\"x+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice:  The left side becomes...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%28x%29%2B5%28x%2B3%29-4%28x%28x%2B3%29%29%29%2Fx%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%282x%28x%29%2B5%28x%2B3%29-4%28x%28x%2B3%29%29%29%2Fx%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which, when simplified becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B5x%2B15-4x%5E2-12x%29%2Fx%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B5x%2B15-4x%5E2-12x%29%2Fx%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2x%5E2-7x%2B15%29%2F%28x%5E2%2B3x%29 ALIGN=MIDDLE  ALT=\"%28-2x%5E2-7x%2B15%29%2F%28x%5E2%2B3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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