Choice Ahoice D is the correct answer.

1. Start with the equation: $4x - 16 = 0$
2. Add 16 to both sides: $4x = 0 + 16$
3. Simplify: $4x = 16$
4. Divide both sides by 4: $x = \frac{16}{4}$
5. Simplify: $x = 4$
6. Verify: $4(4) - 16 = 16 - 16 = 0$ ✓

Choice Ahoice D is incorrect because this might result from thinking $4(-4) = -16$, but $-16 - 16 = -32$, not 0.

Choice Ahoice C is incorrect because this is the value of $4x$. You must divide by 4.

Choice Ahoice C is incorrect because this results from multiplying 16 by 4: $64$.