To solve the equation -4x + x^2 = -10, you first need to rearrange it into standard quadratic form. So, it becomes x^2 - 4x + 10 = 0. Now, you can solve this quadratic equation using the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a). In this case, a = 1, b = -4, and c = 10.