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19 March, 10:48

2x^2-12x-32=0 solution

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Answers (2)
  1. 19 March, 10:58
    0
    x = - 2, x = 8

    Step-by-step explanation:

    Given

    2x² - 12x - 32 = 0 (divide all terms by 2)

    x² - 6x - 16 = 0

    Consider the factors of the constant term ( - 16) which sum to give the coefficient of the x - term ( - 6)

    The factors are - 8 and + 2, since

    - 8 * 2 = - 16 and - 8 + 2 = - 6, hence

    (x - 8) (x + 2) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 2 = 0 ⇒ x = - 2

    x - 8 = 0 ⇒ x = 8
  2. 19 March, 11:15
    0
    Answer: x=-2 or x=8

    Step-by-step explanation:

    Step 1: Factor left side of equation.

    2 (x+2) (x-8) = 0

    Step 2: Set factors equal to 0.

    x+2=0 or x-8=0

    x=-2 or x=8
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