x2 + 2x = 8

To solve for x:

1. Move the constant term to the other side of the equation by subtracting 8 from both sides:
x2 + 2x - 8 = 0

2. Factor the quadratic expression on the left side of the equation:
(x + 4)(x - 2) = 0

3. Use the zero product property and set each factor equal to zero:
x + 4 = 0 or x - 2 = 0

4. Solve for x in each equation:
x = -4 or x = 2

Therefore, the solutions for x are -4 and 2.