document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699533>Question 699533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%2F%28x%5E2-5x%2B6%29%29%2B%28%28x%29%2F%28x-2%29%29=%28%282%29%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%2F%28x%5E2-5x%2B6%29%29%2B%28%28x%29%2F%28x-2%29%29=%28%282%29%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need steps and answer! Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431452 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431452\">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=%28%28x-1%29%2F%28x%5E2-5x%2B6%29%29%2B%28%28x%29%2F%28x-2%29%29=%28%282%29%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%2F%28x%5E2-5x%2B6%29%29%2B%28%28x%29%2F%28x-2%29%29=%28%282%29%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the 1st denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%29%2F%28%28x-3%29%28x-2%29%29%2B%28%28x%29%2F%28x-2%29%29=%28%282%29%2F%28x-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can multiply thru be (x-2)(x-3) and get rid of the denominators, resulting in:<BR>\n" );
document.write( "(x-1) + x(x-3) = 2(x-2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x - 1 + x^2 - 3x = 2x - 4<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "x^2 + x - 3x - 2x + 4 = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 - 4x + 4 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-2)(x-2) = 0<BR>\n" );
document.write( "x = 2, however this cannot be a solution,<BR>\n" );
document.write( "Substitute 2 for x, the 1st and 2nd denominators would have division by 0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );