document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404380>Question 404380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to solve an equation with fractions. This is the problem \r<BR>\n" );
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document.write( "2x over x^2+6x+8 = x over x+4 minus 2 over x+2 <BR>\n" );
document.write( "(i hope the way i wrote it is not confusing. i'm sorry!)\r<BR>\n" );
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document.write( "I have gotten this far. 2x=x^2+2x-2x+4<BR>\n" );
document.write( "                         2x=x^2+4\r<BR>\n" );
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document.write( "I can't get any further. I know that it has to be factored again but i am confused. It is not the type of equation that you have to set = to 0. I can do any of the other problems like this but i have never had one end up with an x^2 right there and my teacher told us that when we got to that point we would have to factor it again but i'm not sure if i understand the problem. I also wasn't sure if the 2x-2x was 0 or 1x. Please help me with this problem if you don't mind. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285759 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=285759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x over x^2+6x+8 = x over x+4 minus 2 over x+2 <BR>\n" );
document.write( "(i hope the way i wrote it is not confusing. i'm sorry!) <BR>\n" );
document.write( "I have gotten this far. 2x=x^2+2x-2x+4<BR>\n" );
document.write( "2x=x^2+4 <BR>\n" );
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document.write( "(2x)/(x^2+6x+8)= x/(x+4) - 2/(x+2)<BR>\n" );
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document.write( "Multiply thru by x^2+6x+8 to get:<BR>\n" );
document.write( "2x = x(x+2) - 2(x+4)<BR>\n" );
document.write( "2x = x^2+2x-2x-8<BR>\n" );
document.write( "x^2-2x-8 = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "x^2-4x+2x-8 = 0<BR>\n" );
document.write( "x(x-4)+2(x-4) = 0<BR>\n" );
document.write( "(x-4)(x+2) = 0<BR>\n" );
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document.write( "x = 4 or x = -2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "x cannot be -2 as that would make the denominator (x+2) = zero.<BR>\n" );
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document.write( "So, x = 4 is the only valid answer.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( " </SPAN>\n" );
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