A 54th-quadraticano polynomial!

Algebra Level 5

P(x)=[(x2+2x3)3(4x2+6x2)3(3x2+4x+1)3]9{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).P(x).

Give your answer to 3 decimal places.

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