document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089867>Question 1089867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the one of the two roots of the equation (2x - 7)(3x + 5) + ax + 31 = 0 is -4, what is the other root? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704260 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+7%29%283x+%2B+5%29+%2B+ax+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"%282x+-+7%29%283x+%2B+5%29+%2B+ax+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if one root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28-4%29+-+7%29%283%28-4%29+%2B+5%29+%2B+a%28-4%29+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"%282%28-4%29+-+7%29%283%28-4%29+%2B+5%29+%2B+a%28-4%29+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8+-+7%29%28-12+%2B+5%29+-4a+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"%28-8+-+7%29%28-12+%2B+5%29+-4a+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-15%29%28-7%29+-4a+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"%28-15%29%28-7%29+-4a+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105+-4a+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"105+-4a+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4a+%2B+136+=+0 ALIGN=MIDDLE  ALT=\"+-4a+%2B+136+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+=+136+ ALIGN=MIDDLE  ALT=\"+4a+=+136+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+34+ ALIGN=MIDDLE  ALT=\"+a+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+7%29%283x+%2B+5%29+%2B+34x+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"%282x+-+7%29%283x+%2B+5%29+%2B+34x+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2+-+11x+-+35+%2B+34x+%2B+31+=+0 ALIGN=MIDDLE  ALT=\"6x%5E2+-+11x+-+35+%2B+34x+%2B+31+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2%2B+23x+++-+4++=+0 ALIGN=MIDDLE  ALT=\"6x%5E2%2B+23x+++-+4++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2%2B+24x-x+++-+4++=+0 ALIGN=MIDDLE  ALT=\"6x%5E2%2B+24x-x+++-+4++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%5E2%2B+24x%29-%28x+%2B+4+%29+=+0 ALIGN=MIDDLE  ALT=\"%286x%5E2%2B+24x%29-%28x+%2B+4+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%28x%2B+4%29-%28x+%2B+4+%29+=+0 ALIGN=MIDDLE  ALT=\"6x%28x%2B+4%29-%28x+%2B+4+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-1%29%28x+%2B+4+%29+=+0 ALIGN=MIDDLE  ALT=\"%286x-1%29%28x+%2B+4+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "roots:\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-1%29+=+0 ALIGN=MIDDLE  ALT=\"%286x-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F6 ALIGN=MIDDLE  ALT=\"x=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+4+%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+4+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4 ALIGN=MIDDLE  ALT=\"x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(given)\r<BR>\n" );
document.write( "\n" );
document.write( "so, the other root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F6 ALIGN=MIDDLE  ALT=\"x=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );