2x^2-12x-32=0 solution

x = - 2, x = 8

Step-by-step explanation:

Given

2x² - 12x - 32 = 0 (divide all terms by 2)

x² - 6x - 16 = 0

Consider the factors of the constant term ( - 16) which sum to give the coefficient of the x - term ( - 6)

The factors are - 8 and + 2, since

- 8 * 2 = - 16 and - 8 + 2 = - 6, hence

(x - 8) (x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 8 = 0 ⇒ x = 8

Answer: x=-2 or x=8

Step-by-step explanation:

Step 1: Factor left side of equation.

2 (x+2) (x-8) = 0

Step 2: Set factors equal to 0.

x+2=0 or x-8=0

x=-2 or x=8