Let m = 6x + 5.

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

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

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