Choice A is the correct answer.

1. Isolate the squared term by dividing by 3: $(x - 2)^2 = 4$.
2. Take the square root: $x - 2 = \pm 2$.
3. Solve for x:
   • $x = 2 + 2 = 4$
   • $x = 2 - 2 = 0$

Choice B is incorrect because it likely solved $(x-2)^2=16$ (multiplied by 3 instead of dividing? No, $16$ comes from $12+4$? Unclear logic, but wrong). Choice C is incorrect because it forgets to add 2 to the solutions. Choice D is incorrect because it forgets to divide by 3 first.