−∣x∣=15 -\left|x\right|=15 −∣x∣=15
Let's solve the equation −∣x∣=15 -\left|x\right|=15 −∣x∣=15. Since the expression inside the absolute value can be either positive or negative, we consider two scenarios:
1. −x=15 -x = 15 −x=15: This implies x=−15 x = -15 x=−15.
2. −(−x)=15 -(-x) = 15 −(−x)=15: This simplifies to x=15 x = 15 x=15.
Thus, the solutions are x=−15 x = -15 x=−15 and x=15 x = 15 x=15.
x=−15 x=-15 x=−15 , x=15 x=15 x=15