What are the solutions to the equation 3(x – 4)(x + 5) = 0?

By the zero-product property, a product equals zero when at least one factor is zero. Since 3 is not zero, set x − 4 = 0 or x + 5 = 0, giving x = 4 or x = −5. Therefore, the correct choice is D: x = 4 or x = −5.

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