document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242441>Question 242441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring and using the principle of zero products.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12n%5E2+%2B+36n+=+0 ALIGN=MIDDLE  ALT=\"12n%5E2+%2B+36n+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177463 by </B><A HREF=/tutors/aboutme.mpl?userid=JimboP1977><B>JimboP1977(311)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JimboP1977><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=JimboP1977><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well to start I would simplify by dividing by 12 to give\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B+3n+=+0 ALIGN=MIDDLE  ALT=\"n%5E2+%2B+3n+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In order to factor we need think of two numbers that mutiplied together give zero and when added together give 3. Well this means that one of numbers must be zero and the other therefore must be 3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B3%29%28n%2B0%29=+0 ALIGN=MIDDLE  ALT=\"%28n%2B3%29%28n%2B0%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lets multiply this out to be sure we are correct:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2An%29%2B%28n%2A0%29%2B%283%2An%29%2B%283%2A0%29=+0 ALIGN=MIDDLE  ALT=\"%28n%2An%29%2B%28n%2A0%29%2B%283%2An%29%2B%283%2A0%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%5E2%29%2B%283n%29=+0 ALIGN=MIDDLE  ALT=\"%28n%5E2%29%2B%283n%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we now that the factors are correct.\r<BR>\n" );
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document.write( "For a product of two factors to equal zero, one the factors MUST be zero. So either n is equal to 0 or -3.\r<BR>\n" );
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document.write( "Does this help? </SPAN>\n" );
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