Question

Use factoring. What is the solution of 2x² = 14x + 60? a. x = -15, x = 4 b. x = -10, x = 3 c. x = 15, x = 12 d. x = 10, x = -3

Answer 1

Answer: d. x = 10, x = -3

Explanation:

We will solve by factoring as asked.

Given:

2x² = 14x + 60

Subtract 2x² from both sides of the equation:

0 = -2x² + 14x + 60

Factor:

0 = −2(x − 10)(x + 3)

Zero-product property:

x - 10 = 0 x + 3 = 0

x = 10 x = -3

d. x = 10, x = -3