document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969380>Question 969380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I am trying to factor this equation 15x^2 - 24x - 12. I then  multiplied 15 x -12 = -180. From here I need to found -30 x 6 which if you subtract 6 from -30 = -24. so now the equation looks like this:<BR>\n" );
document.write( "15x^2 + 6x - 30x - 12. So I divide: 15x^2 + 6x/2x and -30x-12/-6 which now gave me 3x(5x+2)-6(5x+2) I continue to think my answer is (5x+2)(3x-6). unfortunately, the answer key has the answer as 3(5x+2)(x-2) what did I do wrong? Please help me.\r<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 #592269 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=592269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each term has a factor of 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2+-+24x+-+12 ALIGN=MIDDLE  ALT=\"15x%5E2+-+24x+-+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%285x%5E2-8x-4%29 ALIGN=MIDDLE  ALT=\"3%285x%5E2-8x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are only so few ways to factorize  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Try a few combination of trinomial factorizations for the quadratic factor from the last step.\r<BR>\n" );
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document.write( "Look at the possible result for terms of x:\r<BR>\n" );
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document.write( "(5  2)(1  2)----------10 and 2, maybe.\r<BR>\n" );
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document.write( "(5  4)(1  1)---------5 and 4, NO.\r<BR>\n" );
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document.write( "(5  4 )(1   1)----------5 and 4, NO.\r<BR>\n" );
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document.write( "Look further at  this:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x+%2B-+2%29%28x%2B-+2%29 ALIGN=MIDDLE  ALT=\"%285x+%2B-+2%29%28x%2B-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "You need   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x ALIGN=MIDDLE  ALT=\"-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Decide which signs within the binomials are needed.<BR>\n" );
document.write( "......<BR>\n" );
document.write( "This is what works:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%285x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your originally given expression also contained a factor of 3, so to finish your factorization of that, you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%283%285x%2B2%29%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%283%285x%2B2%29%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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