document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72679>Question 72679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (a) does not equal (b), solve for x in terms of (a) and (b):<BR>\n" );
document.write( "x^2+ax=-b(a+x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52052 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If (a) does not equal (b), solve for x in terms of (a) and (b):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bax=-b%28a%2Bx%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Bax=-b%28a%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > get rid of parens\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bax=-ab-bx ALIGN=MIDDLE  ALT=\"x%5E2%2Bax=-ab-bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >  add ab and bx to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bax%2Bbx%2Bab=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bax%2Bbx%2Bab=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  rearrange into standard form for a quadratic eq.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28a%2Bb%29x%2Bab=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28a%2Bb%29x%2Bab=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This is a quadratic equation in standard form where\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1 ALIGN=MIDDLE  ALT=\"A=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"B=%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=ab ALIGN=MIDDLE  ALT=\"C=ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By inspection, we can see that the equation can be factored because the B coefficient is the sum of the product of the C coefficient.  This is always the case, when A=1.  So we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Ba%29%28x%2Bb%29=0 ALIGN=MIDDLE  ALT=\"%28x%2Ba%29%28x%2Bb%29=0\"   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%2Ba=0 ALIGN=MIDDLE  ALT=\"x%2Ba=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-a ALIGN=MIDDLE  ALT=\"x=-a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bb=0 ALIGN=MIDDLE  ALT=\"x%2Bb=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b ALIGN=MIDDLE  ALT=\"x=-b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "  CK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bax=-b%28a%2Bx%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Bax=-b%28a%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-a%5E2=-ab%2Bab ALIGN=MIDDLE  ALT=\"a%5E2-a%5E2=-ab%2Bab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-ab=-ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"b%5E2-ab=-ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-ab=b%5E2-ab ALIGN=MIDDLE  ALT=\"b%5E2-ab=b%5E2-ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps-------------------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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