Solve the Absolute Value Equation: -|x| = 15 Step-by-Step

Question

x=15 -\left|x\right|=15

Step-by-Step Solution

Let's solve the equation x=15 -\left|x\right|=15 . Since the expression inside the absolute value can be either positive or negative, we consider two scenarios:

1. x=15 -x = 15 : This implies x=15 x = -15 .

2. (x)=15 -(-x) = 15 : This simplifies to x=15 x = 15 .

Thus, the solutions are x=15 x = -15 and x=15 x = 15 .

Answer

x=15 x=-15 , x=15 x=15