document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155070>Question 155070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I am old and trying to help my daughter with her physics homework.  I have forgotten even the simplest and need a little boost..<BR>\n" );
document.write( "4x^2+12x=0\r<BR>\n" );
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document.write( "solve for x\r<BR>\n" );
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document.write( "thanks,<BR>\n" );
document.write( "Susan<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114182 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=114182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IF IT'S ANY CONSOLATION, THERE'S CERTAINLY NOTHING WRONG WITH EITHER (being old and trying to help your daughter, that is)\r<BR>\n" );
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document.write( "Since this is a quadratic equation of the form Ax^2+Bx+C where C is zero, we should come up with two values for x.<BR>\n" );
document.write( "4x^2+12x=0  looking at the left side, we can factor out a 4x and rewrite as follows:<BR>\n" );
document.write( "4x(x+3)=0 now we have<BR>\n" );
document.write( "4x=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x+3)=0 subtract 3 from each side<BR>\n" );
document.write( "x+3-3=0-3<BR>\n" );
document.write( "x=-3\r<BR>\n" );
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document.write( "So, our answers are x=0 and x=-3\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "for x=0<BR>\n" );
document.write( "4*0^2+12*0=0<BR>\n" );
document.write( "0=0<BR>\n" );
document.write( "and for x=-3<BR>\n" );
document.write( "4*(-3^2)+12+(-3)=0 (note (-3^2)=+9<BR>\n" );
document.write( "4*9-3*12=0<BR>\n" );
document.write( "36-36=0<BR>\n" );
document.write( "0=0\r<BR>\n" );
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document.write( "This problem could be solved using the quadratic formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Since C is zero, we would have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12+%2B-+sqrt%28+-12%5E2+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-12+%2B-+sqrt%28+-12%5E2+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12+%2B-+sqrt%28144%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-12+%2B-+sqrt%28144%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12+%2Bor-12%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-12+%2Bor-12%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12+%2B12%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-12+%2B12%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=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=x+=+%28-12+-12%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-12+-12%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-24%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-24%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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;\" > \r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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