document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154390>Question 154390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve an equation by factoring, if the sum in a fraction?\r<BR>\n" );
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document.write( "EXAMPLE: 6x + 7 = 20/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113683 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=113683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x + 7 = 20/x<BR>\n" );
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document.write( "Multiply both sides by x to get rid of the denominator<BR>\n" );
document.write( "x(6x + 7) = 20<BR>\n" );
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document.write( "Mult terms inside the brackets:<BR>\n" );
document.write( "6x^2 + 7x = 20<BR>\n" );
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document.write( "Subtract 20 from both sides to reveal our old friend, the quadratic equation<BR>\n" );
document.write( "6x^2 + 7x - 20 = 0<BR>\n" );
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document.write( "With diligent effort we can factor this to:<BR>\n" );
document.write( "(2x + 5)(3x - 4) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "2x = -5<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -2.5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3x = 4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check the 1st solution in the original equation<BR>\n" );
document.write( "6(-2.5) + 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F-2.5 ALIGN=MIDDLE  ALT=\"20%2F-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-15 + 7 = -8<BR>\n" );
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document.write( "Check the 2nd solution<BR>\n" );
document.write( "6*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%283%2F4%29 ALIGN=MIDDLE  ALT=\"20%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "8 + 7 = 15 </SPAN>\n" );
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