Solve for x

x^2 - 2x - 35 = 0x

x = 7

x = - 5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term ( - 35) which sum to give the coefficient of the x - term ( - 2)

The factors are - 7 and + 5, since

- 7 * 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7) (x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7