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Consider the equation ∣x∣2+∣x∣−6=0 \left| x \right|^2 + \left| x \right| - 6 = 0 ∣x∣2+∣x∣−6=0.
Let n n n be the number of real roots, S S S be the sum of those roots, and P P P be the product of those roots. What is ∣n+S+P∣\left| n + S + P \right|∣n+S+P∣?
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