document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130209>Question 1130209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation and show the check of your solution(s).  If an answer is an excluded value, please state that on your paper.  \r<BR>\n" );
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document.write( "x/x-2+8/x^2-8x+12=2x/x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746857 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x/(x-2))+8/(x-2)(x-6), factoring the denominator, =2x/(x-6)<BR>\n" );
document.write( "Multiply everything by (x-2)(x-6)<BR>\n" );
document.write( "x(x-6)+8=2x(x-2)<BR>\n" );
document.write( "x^2-6x+8=2x^2-4x<BR>\n" );
document.write( "0=x^2+2x-8<BR>\n" );
document.write( "0=(x+4)(x-2)<BR>\n" );
document.write( "x=-4, 2<BR>\n" );
document.write( "2 is extraneous, for the first term would be undefined<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "check<BR>\n" );
document.write( "-4/-6 first term is 2/3<BR>\n" );
document.write( "8/(-6*-10), second term is 8/60<BR>\n" );
document.write( "their sum is 48/60 or 4/5<BR>\n" );
document.write( "equals -8/-10 which is 4/5 </SPAN>\n" );
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