document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687574>Question 687574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8x^2-16x-120=0 Solve the equation for x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425217 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since each number in the equation is a multiple of 8, dividing the equation by 8 will make the equation easier to solve.  After dividing everything by 8, you end up with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+-+15+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+-+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's first try to solve for x by factoring.  We need for the same two numbers that can be multiplied to give us -15, be added together to give us -2:\r<BR>\n" );
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document.write( "1 x -15 = -15; 1 + -15 = -14\r<BR>\n" );
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document.write( "-1 x 15 = -15; -1 + 15 = 14\r<BR>\n" );
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document.write( "-3 x 5 = -15; -3 + 5 = 2\r<BR>\n" );
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document.write( "3 x -5 = -15; 3 + -5 = -2  <----- THIS WORKS!\r<BR>\n" );
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document.write( "Now, we set up in factor form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%28x+-+5%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%28x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And put each set of parenthesis equal to zero, and solve for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final Answer:  x = -3, 5 </SPAN>\n" );
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