Answer:
x = - 9, x = - 3
Step-by-step explanation:
Given
x² + 12x + 27 = 0
To factorise the quadratic
Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (+ 12)
The factors are + 9 and + 3, since
9 × 3 = 27 and 9 + 3 = 12, hence
(x + 9)(x + 3) = 0
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 3 = 0 ⇒ x = - 3
