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Math Help - Need help factoring, please.

  1. #1
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    Need help factoring, please.

    Hey, could anyone please offer some insight and solve: 30x+4x^2-16x^3 I'm sure once I see it I can keep doing it without assistance. Thank You!
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by FactoringAnguish View Post
    Hey, could anyone please offer some insight and solve: 30x+4x^2-16x^3 I'm sure once I see it I can keep doing it without assistance. Thank You!
    Re-arrange:

    -16x^3 + 4x^2 + 30x

    When you say SOLVE, I assume it's equal to 0

    So:

    -16x^3 + 4x^2 + 30x = 0

    16x^3 - 4x^2 - 30x = 0

    2x(8x^2 - 2x - 15) = 0

    2x(4x + 5)(2x - 3) = 0

    So x = 0 or x = - \frac{5}{4} or x = \frac{3}{2}
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  3. #3
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    30x+4x^2-16x^3

    = 30x +4x^2 -16x^3
    Factor out the common 2x,
    = (2x)(15 +2x -8x^2)
    Then factor the 15 +2x -8x^2,
    = (2x)(5 +4x)(3 -2x)

    So,
    x = 0, or, x = -5/4, or, x = 3/2 --------------answer.
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  4. #4
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    Thanks guys, very quick response! I now know the proper way to re-order it to make it something I'm used to seeing.
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  5. #5
    Bar0n janvdl's Avatar
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    Quote Originally Posted by FactoringAnguish View Post
    Thanks guys, very quick response! I now know the proper way to re-order it to make it something I'm used to seeing.
    You're welcome and we look forward to helping you again
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