document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390360>Question 390360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (3x)/(x^2+2x-8)=(1/(x-2))+(x/(x+4)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276755 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=276755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  (3x)/(x^2+2x-8)=(1/(x-2))+(x/(x+4))<BR>\n" );
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document.write( "(3x)/[(x+4)(x-2)] = [(x+4+x(x-2)]/[(x-2)(x+4)]<BR>\n" );
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document.write( "Multiply thru by (x-2)(x+4) to get:<BR>\n" );
document.write( "3x = x+4 + x^2-2x<BR>\n" );
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document.write( "3x = x^2-x+4<BR>\n" );
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document.write( "x^2-4x+4 = 0<BR>\n" );
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document.write( "Factor to get:<BR>\n" );
document.write( "(x-2)^2 = 9<BR>\n" );
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document.write( "Solution x = 2<BR>\n" );
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document.write( "But x cannot be 2 because (x-2) is one of the denominators<BR>\n" );
document.write( "of the original problem.<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "No solution<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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