GMAT Data Sufficiency Question 55: Algebraic equations

 
Try the following GMAT data sufficiency question on finding roots of algebraic equations.

Question 55:

What is the value of $x$ ?

1. (1) $(|x|-2)(x+2)=0$
2. (2) $(|x|+2)(x-2)=0$

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.