document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106565>Question 106565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by factoring<BR>\n" );
document.write( "x cubed-9x=0\r<BR>\n" );
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document.write( "y squared-2y-24=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77570 by </B><A HREF=/tutors/aboutme.mpl?userid=ashlyn.xo><B>ashlyn.xo(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ashlyn.xo><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=77570\">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=x%5E3-9x=0 ALIGN=MIDDLE  ALT=\"x%5E3-9x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this equation cannot be factored, because there is no square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-2y-24=0 ALIGN=MIDDLE  ALT=\"y%5E2-2y-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "GAME:  think of 2 numbers that is the product to the 3rd term (-24) and the sum of the 2nd term (-2).<BR>\n" );
document.write( "These two numbers would be:  -6,4<BR>\n" );
document.write( "This is because: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2A4=-24 ALIGN=MIDDLE  ALT=\"-6%2A4=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2B4=-2 ALIGN=MIDDLE  ALT=\"-6%2B4=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, substitute these two numbers as the middle term in the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-6y%2B4y-24=0 ALIGN=MIDDLE  ALT=\"y%5E2-6y%2B4y-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, common factor by GROUPING<BR>\n" );
document.write( "-Common Factor the first two terms<BR>\n" );
document.write( "-Common factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-6y ALIGN=MIDDLE  ALT=\"y%5E2-6y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is y<BR>\n" );
document.write( "-Common Factor the last two terms<BR>\n" );
document.write( "-Common factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-24 ALIGN=MIDDLE  ALT=\"4y-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 4\r<BR>\n" );
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document.write( "Therefore, the equation is now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28y-6%29%2B4%28y-6%29=0 ALIGN=MIDDLE  ALT=\"y%28y-6%29%2B4%28y-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > after dividing by the common factors.\r<BR>\n" );
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document.write( "Take the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28y-6%29%2B4%28y-6%29=0 ALIGN=MIDDLE  ALT=\"y%28y-6%29%2B4%28y-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and common factor again, this time the common factor being (y-6)\r<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29%2A%28y-4%29=0 ALIGN=MIDDLE  ALT=\"%28y-6%29%2A%28y-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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