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

−∣x∣=15 -\left|x\right|=15

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1

Understand the problem

−∣x∣=15 -\left|x\right|=15

2

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 .

3

Final Answer

x=−15 x=-15 , x=15 x=15

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\( \left|x\right|=3 \)

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