document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715227>Question 715227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve and check\r<BR>\n" );
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document.write( "2x^2+7x=9\r<BR>\n" );
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document.write( "x=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439335 by </B><A HREF=/tutors/aboutme.mpl?userid=Simnepi><B>Simnepi(216)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Simnepi><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=Simnepi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let's get this into shape!<BR>\n" );
document.write( "rearranging the equation gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B7x-9=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B7x-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we look for factor pairs of the constant term i.e. 9<BR>\n" );
document.write( "the factor pairs of -9 are<BR>\n" );
document.write( "plus/minus 3 and plus minus 3<BR>\n" );
document.write( "plus/minus 1 and plus/minus 9<BR>\n" );
document.write( "given that the squared term coefficient is 2 and we have to add these factors to make the linear term's coefficient<BR>\n" );
document.write( "the factor pair we will use is plus/minus 1 and plus/minus 9<BR>\n" );
document.write( "because +9 + 2(-1) = +7<BR>\n" );
document.write( "giving us<BR>\n" );
document.write( "(2x+9)(x-1)=0<BR>\n" );
document.write( "either of these could =0<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "2x+9=0 OR x-1=0<BR>\n" );
document.write( "giving us <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9%2F2 ALIGN=MIDDLE  ALT=\"x=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR x=1<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-9%2F2%29%5E2%2B7%28-9%2F2%29 ALIGN=MIDDLE  ALT=\"2%28-9%2F2%29%5E2%2B7%28-9%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162%2F4-63%2F2 ALIGN=MIDDLE  ALT=\"162%2F4-63%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=9<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%281%29%5E2%2B7%281%29 ALIGN=MIDDLE  ALT=\"2%281%29%5E2%2B7%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=9<BR>\n" );
document.write( "both our solutions are correct! </SPAN>\n" );
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