Solve for all values of xx by factoring.x, squared, minus, 4, x, minus, 63, equals, minus, 6, xx 2 −4x−63=−6x

Sure, let's solve the equation step by step:

1. First, let's rewrite the equation: x^2 - 4x - 63 = -6x
2. Then, let's move the -6x term to the left side of the equation to collect like terms: x^2 + 2x - 63 = 0
3. Now, we need to factor the quadratic equation. We're looking for two numbers that multiply to -63 and add to 2. Those numbers are 9 and -7. So, we can rewrite the equation as: (x - 7)(x + 9) = 0
4. Finally, we set each factor equal to zero and solve for x: x - 7 = 0 gives x = 7 and x + 9 = 0 gives x = -9

So, the solutions to the equation x^2 - 4x - 63 = -6x are x = 7 and x = -9.