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26 September, 12:16

3x squared - 16x - 7=5

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  1. 26 September, 12:29
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    3x^2 - 16x - 7 = 5. This is a quadratic equation. Cross the 5 to the other side.

    3x^2 - 16x - 7 - 5 = 0

    3x^2 - 16x - 12 = 0. Let us use factorization method.

    Multiply the first coefficient and last term = 3 * - 12 = - 36.

    We think of two numbers that multiply to give - 36 and add up to give the middle coefficient - 16.

    The two numbers are = 2 and - 18.

    2 * - 18 = - 36.

    2 + (-18) = - 16.

    We replace the middle term - 16 with 2 + (-18) = 2 - 18.

    3x^2 - 16x - 12 = 0

    3x^2 + 2x - 18x - 12 = 0 Factorize.

    x (3x + 2) - 6 (3x + 2) = 0

    (3x + 2) (x - 6) = 0.

    Therefore (3x + 2) = 0 or (x - 6) = 0

    (3x + 2) = 0 x - 6 = 0

    3x = 0 - 2 x = 0 + 6

    3x = - 2 x = 6

    x = - 2/3

    3x = - 2

    x = - 2/3

    Therefore x = - 2/3 or 6.
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