Solve |`x^2+x-4|=|x^2-4|+|x|dot`

Explanation

To solve the equation \( |x^2 + x - 4| = |x^2 - 4| + |x| \), we will analyze the expressions inside the absolute values and determine the conditions under which they are positive or negative.

### Step-by-Step Solution:

1. **Identify Critical Points**:
We need to find the points where the expressions inside the absolute values change sign. This occurs when:
- \( x^2 + x - 4 = 0 \)
- \( x^2 - 4 = 0 \)
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