Question

Solve by factoring 2x^2 + 10x - 28 = 0

Answer 1

x = 2, x = -7

Explanation:

Hello!

First, let's factor the equation by grouping.

Factor

• 2x² + 10x - 28 = 0
• 2(x² + 5x - 14) = 0
• 2(x² + 7x - 2x - 14) = 0
• 2(x(x + 7) - 2(x + 7)) = 0
• 2(x - 2)(x + 7) = 0

Set each factor with x equal to 0, and solve for x.

• (x - 2) = 0
  x = 2
• (x + 7) = 0
  x = -7

The solutions for x are 2 and -7.