3x^2-24x-27=0 solve by factoring

x=9 and x=-1

Step-by-step explanation:

i'm really good at algebra

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