A 54th-quadraticano polynomial!

Algebra Level 5

\[{P(x)}=[(x^2 +2x-3)^{3} - (4x^2+6x-2)^{3}-(3x^2+4x+1)^{3}]^{9}\]

Find the sum of the distinct real roots of \(P(x). \)

Give your answer to 3 decimal places.

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