document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709881>Question 709881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you show me how to solve x^3-6x^2-9x=0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436807 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve for x, first factor out an x from the left side of the equal sign.  This gives us\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2+-+6x+-+9%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x%5E2+-+6x+-+9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We know know that 0 is one of the values of x.\r<BR>\n" );
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document.write( "To find the other two values, use the quadratic formula on the quadratic equation inside the parentheis:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+6x+-+9 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+-+9\"   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=x=%28-%28-6%29%2B-sqrt%28-6%5E2-4%2A1%2A%28-9%29%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=%28-%28-6%29%2B-sqrt%28-6%5E2-4%2A1%2A%28-9%29%29%29%2F%282%2A1%29\"   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=x+=+%286%2B-sqrt%2836%2B36%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%286%2B-sqrt%2836%2B36%29%29%2F2\"   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=x+=+%286%2B-sqrt%2872%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%286%2B-sqrt%2872%29%29%2F2\"   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=x+=+%286%2B-6%2Asqrt%282%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%286%2B-6%2Asqrt%282%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can reduce this to lowest terms, by factoring out a 6 from the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286%281%2B-sqrt%282%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%286%281%2B-sqrt%282%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then dividing the factored 6, by two, giving us\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%281%2B-sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"x+=+3%281%2B-sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, x = 0,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B3%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"3%2B3%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-3%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"3-3%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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