document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57032>Question 57032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello, i need help solving this equation and simplying my answer as much as possible, thanks so much!<BR>\n" );
document.write( "2x              3         1<BR>\n" );
document.write( "-------   -  ------  +  ------<BR>\n" );
document.write( "x^2+x-6       x+3        x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38753 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=38753\">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=+2x%2F%28x%5E2%2Bx-6%29+-+3%2F+%28x%2B3%29+%2B+1%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"+2x%2F%28x%5E2%2Bx-6%29+-+3%2F+%28x%2B3%29+%2B+1%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the denominator of the first fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%2F%28x%2B3%29%28x-2%29+-+3%2F+%28x%2B3%29+%2B+1%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"+2x%2F%28x%2B3%29%28x-2%29+-+3%2F+%28x%2B3%29+%2B+1%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the 2nd fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-2%29%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"+%28x-2%29%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the 3rd by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B3%29%2F%28x%2B3%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B3%29%2F%28x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%2F%28x%2B3%29%28x-2%29+-+3%28x-2%29%2F%28x%2B3%29%28x-2%29+%2B+1%28x%2B3%29%2F%28x-2%29%28x%2B3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With the denominators all the same ... combine the numerators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x-3%28x-2%29%2B1%28x%2B3%29%29%2F%28x%2B3%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"+%282x-3%28x-2%29%2B1%28x%2B3%29%29%2F%28x%2B3%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distibute through the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x-3x%2B6%2B1x%2B3%29%2F%28x%2B3%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"+%282x-3x%2B6%2B1x%2B3%29%2F%28x%2B3%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine the X terms in the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%2B3%29%2F%28x%2B3%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"+%286%2B3%29%2F%28x%2B3%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine the constants<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F%28x%2B3%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"+9%2F%28x%2B3%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );