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8 December, 03:35

X^2+12x=-35

Solve the quadratic by factoring

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Answers (2)
  1. 8 December, 05:23
    0
    The values of x are - 5 and - 7

    Step-by-step explanation:

    x^2 + 12x = - 35

    Equate to zero

    x^2 + 12x + 35 = 0

    Finding the factors that will be multiplied to give + 35x^2 and added to give + 12x

    Use + 7 and + 5

    Substitute 7x + 5x for 12x in the equation

    x^2 + 7x + 5x + 35 = 0

    Separate using brackets

    (x^2 + 7x) + (5x + 35) = 0

    x (x + 7) + 5 (x + 7) = 0

    (x + 5) (x + 7) = 0

    Equating each bracket to zero

    (x + 5) = 0

    x + 5 = 0

    x = - 5

    (x + 7) = 0

    x + 7 = 0

    x = - 7

    The values of x are - 5 and - 7
  2. 8 December, 06:34
    0
    Step-by-step explanation:

    x² + 12x = - 35

    x² + 12x + 35 = 0

    (x + 5) (x + 7) = 0

    x = - 5 or - 7
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