Factorizing An Absolute Value Expression?

Algebra Level 3

Let the largest root of \(x^2+|5x|-6=0\) be \(a\) and the smaller root of \(|x^2+5x|-6=0\) be \(b\).

Find \(a+b\).

Notation: \( | \cdot | \) denotes the absolute value function.

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