document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232489>Question 232489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help me solve 3x^2-12x=63 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171802 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term, this is a quadratic equation. To solve quadratic equations<ol><li>Simplify each side</li><li>Get one side equal to zero by adding or subtracting appropriate terms.</li><li>Use the quadratic formula or factor</li><li>If you factored in the previous step, use the Zero Product Property and solve.</li></ol><BR>\n" );
document.write( "Let's try this on your equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-12x=63 ALIGN=MIDDLE  ALT=\"3x%5E2-12x=63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1. Simplify.<BR>\n" );
document.write( "Your equation is already simplified.<BR>\n" );
document.write( "2. Get one side equal to zero.<BR>\n" );
document.write( "Subtract 63 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-12x-63=0 ALIGN=MIDDLE  ALT=\"3x%5E2-12x-63=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Factor or use the quadratic formula. (I prefer factoring when it can be done so we'll factor.)<BR>\n" );
document.write( "Always start factoring with the Greatest Common Factor (GCF). Here the GCF is 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2-4x-21%29+=+0 ALIGN=MIDDLE  ALT=\"3%28x%5E2-4x-21%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Always keep factoring until you can factor no more. The trinomial will factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-7%29%28x%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"3%28x-7%29%28x%2B3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. Use the Zero Product Property. This property says that the only way a product can be zero is if one of the factors is zero. So our solutions will be x values that make one of the factors zero. 3 cannot be a zero. But the other two, with x in them, could be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+0 ALIGN=MIDDLE  ALT=\"x-7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B3+=+0 ALIGN=MIDDLE  ALT=\"+x%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving these we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7 ALIGN=MIDDLE  ALT=\"x+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <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;\" > </SPAN>\n" );
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