document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386089>Question 386089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving the equation of     3x+2   1   -2<BR>\n" );
document.write( "                                        ____ + _ = ___<BR>\n" );
document.write( "                                         x-2   x   x2-2x\r<BR>\n" );
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document.write( "The answer key says the solution is -1, but i cant seem to figure it out. <BR>\n" );
document.write( "please explain the answer to me. thank you <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272991 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%2F%28x-2%29+%2B+1%2Fx+=+-2%2F%28x%5E2-2x%29 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%2F%28x-2%29+%2B+1%2Fx+=+-2%2F%28x%5E2-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can factor the denominator on the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%2F%28x-2%29+%2B+1%2Fx+=+-2%2F%28x%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%2F%28x-2%29+%2B+1%2Fx+=+-2%2F%28x%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply BOTH sides by x(x-2) to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283x%2B2%29+%2B+%28x-2%29+=+-2 ALIGN=MIDDLE  ALT=\"x%283x%2B2%29+%2B+%28x-2%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B2x+%2B+x-2+=+-2 ALIGN=MIDDLE  ALT=\"3x%5E2%2B2x+%2B+x-2+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B3x-2+=+-2 ALIGN=MIDDLE  ALT=\"3x%5E2%2B3x-2+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B3x+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B3x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring the left side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%28x%2B1%29+=+0 ALIGN=MIDDLE  ALT=\"3x%28x%2B1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = {-1, 0}<BR>\n" );
document.write( "Testing for extraneous solutions we find that 0 must be thrown out leaving:<BR>\n" );
document.write( "x = -1<BR>\n" );
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