−∣x∣=8 -\left|x\right|=8 −∣x∣=8
Let's solve the equation −∣x∣=8 -\left|x\right|=8 −∣x∣=8. The expression inside the absolute value can take two forms:
1. −x=8 -x = 8 −x=8: This gives x=−8 x = -8 x=−8.
2. −(−x)=8 -(-x) = 8 −(−x)=8: This simplifies to x=8 x = 8 x=8.
Therefore, the solutions are x=−8 x = -8 x=−8 and x=8 x = 8 x=8.
x=−8 x=-8 x=−8 , x=8 x=8 x=8