Answer:
x = - 1, x = 9
Step-by-step explanation:
given
3x² - 24x - 27 = 0 ← divide all terms by 3
x² - 8x - 9 = 0
Consider the factors of the constant term ( - 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × + 1 = - 9 and - 9 + 1 = - 8, thus
(x - 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 1 = 0 ⇒ x = - 1
