To solve the equation , we need to consider two cases based on the definition of the absolute value:
Case 1: When , i.e., →
In this case, . So the equation becomes:
Now we need to check if this solution is valid for the original equation.
Substitute into the right side of the original equation:
Substitute into the left side of the original equation:
Since the left side equals the right side when , is a valid solution in this case.
Case 2: When , i.e.,