'Palindrome' rooted polynomial.

Algebra Level 5

x8+2x6+2x5+2x4+2x3+2x2+x=6039306x^8 + 2x^6 + 2x^5 + 2x^4 + 2x^3 + 2x^2 + x = 6039306

Find sum of all the integer solutions to the equation above.

Also try Taxicab Rooted Polynomial.
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