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4 January, 12:34

Let m = 6x + 5.

Which equation is equivalent to (6x + 5) 2 - 10 = - 18x - 15 in terms of m?

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Answers (2)
  1. 4 January, 12:56
    0
    m² + 3m - 10 = 0

    Step-by-step explanation:

    Given

    (6x + 5) ² - 10 = - 18x - 15 ← factor out - 3 from each term

    (6x + 5) ² - 10 = - 3 (6x + 5)

    Now let m = 6x + 5 in the equation, that is

    m² - 10 = - 3m (add 3m to both sides)

    m² + 3m - 10 = 0
  2. 4 January, 13:02
    0
    m = 2

    Step-by-step explanation:

    (6x + 5) 2 - 10 = - 18x - 15

    12x + 10 - 10 = - 18x - 15

    12x + 18x = - 15

    30x = - 15

    x = - 15/30

    x = - 1/2

    m = 6x + 5

    m = 6 (-1/2) + 5

    m = - 3 + 5

    m = 2
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