Solve for x: (x - 4)(x + 3) = 0. Which statement is true?

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Multiple Choice

Solve for x: (x - 4)(x + 3) = 0. Which statement is true?

Explanation:
When a product equals zero, at least one of the factors must be zero. Set each factor to zero: x − 4 = 0 gives x = 4, and x + 3 = 0 gives x = −3. So the equation holds exactly when x is 4 or −3. The statement listing both possibilities is the complete description of the solutions. A statement with only x = 4 or only x = −3 is true but incomplete, and x = 0 isn’t a solution since (0 − 4)(0 + 3) ≠ 0.

When a product equals zero, at least one of the factors must be zero. Set each factor to zero: x − 4 = 0 gives x = 4, and x + 3 = 0 gives x = −3. So the equation holds exactly when x is 4 or −3. The statement listing both possibilities is the complete description of the solutions. A statement with only x = 4 or only x = −3 is true but incomplete, and x = 0 isn’t a solution since (0 − 4)(0 + 3) ≠ 0.

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