Solve for all values of xx by factoring.x, squared, plus, 8, x, minus, 24, equals, 3, xx 2 +8x−24=3x

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

1. First, rewrite the equation: x^2 + 8x - 24 = 3x
2. Then, rearrange the equation to bring all terms to one side: x^2 + 8x - 3x - 24 = 0
3. Simplify the equation: x^2 + 5x - 24 = 0
4. Now, factor the quadratic equation: (x - 3)(x + 8) = 0
5. Set each factor equal to zero and solve for x: x - 3 = 0 or x + 8 = 0
6. Solving these gives: x = 3 or x = -8

So, the solutions to the equation x^2 + 8x - 24 = 3x are x = 3 and x = -8.