3xsquare-9x-30=0

What's the answer

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term ( - 10) which sum to give the coefficient of the x - term ( - 3)

The factors are - 5 and + 2, since

- 5 * 2 = - 10 and - 5 + 2 = - 3, thus

x² - 3x - 10 = 0

(x - 5) (x + 2) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2