# A 6th degree?!

Algebra Level 5

Determine the sum of the squares of all real numbers $$x$$ that satisfy the equation

$[(x+1)^2-x][(x+1)^2][(x+1)^2 +2x] = -2x^5 + 4x^3 -2x$

Note:

• Only count repeated roots once.

• Please do not use WolframAlpha.

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