Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 15x + 30 = 3x - 2 ( subtract 3x - 2 from both sides )
x² + 12x + 32 = 0 ← in standard form
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (+ 12)
The factors are + 8 and + 4 , since
8 × 4 = + 32 and 8 + 4 = + 12 , then
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
