document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420061>Question 420061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you use the zero-factoring property when solving a quadratic equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293567 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "When a product <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+0 ALIGN=MIDDLE  ALT=\"AB+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+0 ALIGN=MIDDLE  ALT=\"A+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+0 ALIGN=MIDDLE  ALT=\"B+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "When you have a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=quadratic_+expression+=+0 ALIGN=MIDDLE  ALT=\"quadratic_+expression+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=can ALIGN=MIDDLE  ALT=\"can\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+factor ALIGN=MIDDLE  ALT=\"+factor\"   DISABLED_style= \"max-width:90%; height:auto;\" > it into two linear factors, then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=exactly ALIGN=MIDDLE  ALT=\"exactly\"   DISABLED_style= \"max-width:90%; height:auto;\" > that situation. \r<BR>\n" );
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document.write( "Then you simply need to solve two linear equations in place of the quadratic equation.\r<BR>\n" );
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document.write( "So if you can factor a quadratic as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-5%29%282x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%283x-5%29%282x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..it has the same form as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+0 ALIGN=MIDDLE  ALT=\"AB+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and so\r<BR>\n" );
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document.write( "either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-5%29=0%29%29%29+...%7B%7B%7B3x+%965+=+0 ALIGN=MIDDLE  ALT=\"3x-5%29=0%29%29%29+...%7B%7B%7B3x+%965+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"2x+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solving each of these you get that either\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2B+5%2F3 ALIGN=MIDDLE  ALT=\"x+=+%2B+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F2 ALIGN=MIDDLE  ALT=\"x+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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