document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=728569>Question 728569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I dont understand how to solve this problem:\r<BR>\n" );
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document.write( "Original Equation:\r<BR>\n" );
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document.write( "[(x)/(x-3)] - [(2)/(x+8)]= [(78)/(x^2+5x-24)]\r<BR>\n" );
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document.write( "What I did:\r<BR>\n" );
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document.write( "Multiplied left side of the equation to get common denominator:\r<BR>\n" );
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document.write( "(x+8)[(x)/(x-3)] - (x-3)[(2)/(x+8)]\r<BR>\n" );
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document.write( "I get this when simplified:\r<BR>\n" );
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document.write( "[x^2+6x+6/(x^2+5x-24)]=[(78/(x^2+5x-24)]\r<BR>\n" );
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document.write( "I mult each side by denom: so...\r<BR>\n" );
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document.write( "x^2+6x+6=78\r<BR>\n" );
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document.write( "subtract and simplify:\r<BR>\n" );
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document.write( "x^2+6x-72=0\r<BR>\n" );
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document.write( "But after this step I find that I can not factor it.\r<BR>\n" );
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document.write( "If i put no solution in as the answers, it is wrong. When did I go wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445513 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=445513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> from <BR>\n" );
document.write( "[x^2+6x+6/(x^2+5x-24)]=[(78/(x^2+5x-24)]<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "(x^2+6 x+6)/((x-3) (x+8)) = 78/((x-3) (x+8))\r<BR>\n" );
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document.write( "(x^2+6 x-72)/((x-3) (x+8)) = 0<BR>\n" );
document.write( "((x-6) (x+12))/((x-3) (x+8)) = 0<BR>\n" );
document.write( "x=6 <BR>\n" );
document.write( "x=-12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );