Solve for x: (x-4)(x+4)=0.

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Multiple Choice

Solve for x: (x-4)(x+4)=0.

Explanation:
When a product equals zero, at least one factor must be zero. For (x-4)(x+4)=0, set each factor to zero: x-4 = 0 gives x = 4, and x+4 = 0 gives x = -4. Both values make the left-hand side zero, so they are the solutions. This is the same as solving x^2 - 16 = 0, which also yields x = ±4. The correct choice lists both -4 and 4.

When a product equals zero, at least one factor must be zero. For (x-4)(x+4)=0, set each factor to zero: x-4 = 0 gives x = 4, and x+4 = 0 gives x = -4. Both values make the left-hand side zero, so they are the solutions. This is the same as solving x^2 - 16 = 0, which also yields x = ±4. The correct choice lists both -4 and 4.

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