document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94579>Question 94579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve and check the equation for x\r<BR>\n" );
document.write( "\n" );
document.write( "5/x+6  +  2/x^2+7x+6 = 3/x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68926 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=68926\">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=5%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%5E2%2B7x%2B6%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%5E2%2B7x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Factor the quadratic;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%2B6%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%2B6%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply thru by (x+6)(x+1)<BR>\n" );
document.write( "(x+6)(x+1)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + (x+6)(x+1)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%2B6%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%2B6%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (x+6)(x+1)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "5(x+1) + 2 = 3(x+6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5x + 5 + 2 = 3x + 18<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5x + 7 = 3x + 18<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5x - 3x = 18 - 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2x = 11<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = 11/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );