Algebra-2

To solve the absolute value equation , we need to consider two cases based on the sign of the expression inside the absolute value:

Case 1: When , i.e.,  → 

In this case, the absolute value . So our equation becomes:

Now we need to check if this solution is valid for the original equation.

Substitute into the original equation :

Left side:

Right side:

Since the left side equals the right side when , is a valid solution for this case.

Case 2: When