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To solve the equation 0 = x^2 - 2x - 24, we should factor the quadratic equation.
When we factor x^2 - 2x - 24, we get (x - 6)(x + 4).
This means that x - 6 = 0 or x + 4 = 0.
So, x = 6 or x = -4.
Therefore, the solutions are x = 6, -4.
The correct answer is D. x = 6, -4.