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31 December, 07:38

Let m=5x-2.

Which equation is equivalent to (5x-2) ^2+35x-14=-12

A. m^2-7m+12=0

B. m^2+7m-2=0

C. m^2-7m-2=0

D. m^2+7m+12=0

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Answers (1)
  1. 31 December, 07:51
    0
    D

    Step-by-step explanation:

    given

    (5x - 2) ² + 35x - 14 = - 12 ← factor out 7 from 35x - 14

    (5x - 2) ² + 7 (5x - 2) = - 12 (add 12 to both sides)

    (5x - 2) ² + 7 (x - 2) + 12 = 0 ← substitute m = 5x - 2, hence

    m² + 7m + 12 = 0 → D
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