document.write( "Question 969380: 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:
\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
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Algebra.Com's Answer #592272 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
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:
\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.
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First, this is NOT an equation, but a TRINOMIAL that can be FACTORED.
\n" ); document.write( "\"15x%5E2+-+24x+-+12\"
\n" ); document.write( "The first step you need to take is to find the GCF
\n" ); document.write( "\"3%285x%5E2+-+8x+-+4%29\" ------ Factoring out GCF, 3
\n" ); document.write( "\"highlight_green%283%285x+%2B+2%29%28x+-+2%29%29%29\" ----- Factoring trinomial in the parentheses\r
\n" ); document.write( "\n" ); document.write( "Your answer is PARTIALLY correct. Since you didn't factor out a GCF, you can see that one of your
\n" ); document.write( "binomials, (3x - 6) can be factored as: 3(x - 2), thereby giving you: 3(x - 2)(5x + 2), which is
\n" ); document.write( "the same as mine and the answer in the answer key. \n" ); document.write( "
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