Answer:
x = - 6, x = - 5
Step-by-step explanation:
Given
x² + 11x + 30 = 0
Consider the factors of the constant term ( + 30) which sum to give the coefficient of the x- term.
The factors are + 6 and + 5, since
6 × 5 = + 30 and 6 + 5 = + 11, hence
(x + 6)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 5 = 0 ⇒ x = - 5
