Worry-able everywhere - 2

Algebra Level 5

(x2+x57)3x2+3=(x2+x57)10x\left( x^2+x-57 \right)^{3x^2+3}=\left( x^2+x-57 \right)^{10x} Find the sum (up to 3 decimal places) of all rational values of xx satisfying the above equation.

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