document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707165>Question 707165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3q(q-2)=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435554 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=435554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%28q-2%29=6 ALIGN=MIDDLE  ALT=\"3q%28q-2%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First simplify so we can see what kind of equation we have. Using the Distributive Property to multiply we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%5E2-6q=6 ALIGN=MIDDLE  ALT=\"3q%5E2-6q=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a quadratic equation (because of the squared term). To solve it we first want one side to be zero. Subtracting 6 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%5E2-6q-6=0 ALIGN=MIDDLE  ALT=\"3q%5E2-6q-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we factor (or use the Quadratic Formula). We can factor out the greatest common factor of 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28q%5E2-2q-2%29=0 ALIGN=MIDDLE  ALT=\"3%28q%5E2-2q-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But now it won't factor anymore. So we must resort to the Quadratic Formula. We can use the formula on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%5E2-6q-6 ALIGN=MIDDLE  ALT=\"3q%5E2-6q-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2-2q-2 ALIGN=MIDDLE  ALT=\"q%5E2-2q-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. (The answers will be the same either way.) I'm going to use the formula on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2-2q-2 ALIGN=MIDDLE  ALT=\"q%5E2-2q-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the a, b and c values are smaller.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2-4%281%29%28-2%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"q+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2-4%281%29%28-2%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-%28-2%29+%2B-+sqrt%284-4%281%29%28-2%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"q+=+%28-%28-2%29+%2B-+sqrt%284-4%281%29%28-2%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-%28-2%29+%2B-+sqrt%284%2B8%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"q+=+%28-%28-2%29+%2B-+sqrt%284%2B8%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-%28-2%29+%2B-+sqrt%2812%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"q+=+%28-%28-2%29+%2B-+sqrt%2812%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%282+%2B-+sqrt%2812%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%282+%2B-+sqrt%2812%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%282+%2B-+sqrt%284%2A3%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%282+%2B-+sqrt%284%2A3%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%282+%2B-+sqrt%284%29%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%282+%2B-+sqrt%284%29%2Asqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%282+%2B-+2%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%282+%2B-+2%2Asqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%282%281+%2B-+sqrt%283%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%282%281+%2B-+sqrt%283%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+1+%2B-+sqrt%283%29 ALIGN=MIDDLE  ALT=\"q+=+1+%2B-+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is short for:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+1+%2B+sqrt%283%29 ALIGN=MIDDLE  ALT=\"q+=+1+%2B+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+-+sqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+1+-+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "These are the two solutions to your equation. </SPAN>\n" );
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