A 6th degree?!

Algebra Level 5

Determine the sum of the squares of all real numbers xx that satisfy the equation

[(x+1)2x][(x+1)2][(x+1)2+2x]=2x5+4x32x[(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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