(x^3+x^2+x-1)(x^3-x^2+x+1)=0

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Solution for (x^3+x^2+x-1)(x^3-x^2+x+1)=0 equation: 


Simplifying
(x3 + x2 + x + -1)(x3 + -1x2 + x + 1) = 0

Reorder the terms:
(-1 + x + x2 + x3)(x3 + -1x2 + x + 1) = 0

Reorder the terms:
(-1 + x + x2 + x3)(1 + x + -1x2 + x3) = 0

Multiply (-1 + x + x2 + x3) * (1 + x + -1x2 + x3)
(-1(1 + x + -1x2 + x3) + x(1 + x + -1x2 + x3) + x2(1 + x + -1x2 + x3) + x3(1 + x + -1x2 + x3)) = 0
((1 * -1 + x * -1 + -1x2 * -1 + x3 * -1) + x(1 + x + -1x2 + x3) + x2(1 + x + -1x2 + x3) + x3(1 + x + -1x2 + x3)) = 0
((-1 + -1x + 1x2 + -1x3) + x(1 + x + -1x2 + x3) + x2(1 + x + -1x2 + x3) + x3(1 + x + -1x2 + x3)) = 0
(-1 + -1x + 1x2 + -1x3 + (1 * x + x * x + -1x2 * x + x3 * x) + x2(1 + x + -1x2 + x3) + x3(1 + x + -1x2 + x3)) = 0
(-1 + -1x + 1x2 + -1x3 + (1x + x2 + -1x3 + x4) + x2(1 + x + -1x2 + x3) + x3(1 + x + -1x2 + x3)) = 0
(-1 + -1x + 1x2 + -1x3 + 1x + x2 + -1x3 + x4 + (1 * x2 + x * x2 + -1x2 * x2 + x3 * x2) + x3(1 + x + -1x2 + x3)) = 0
(-1 + -1x + 1x2 + -1x3 + 1x + x2 + -1x3 + x4 + (1x2 + x3 + -1x4 + x5) + x3(1 + x + -1x2 + x3)) = 0
(-1 + -1x + 1x2 + -1x3 + 1x + x2 + -1x3 + x4 + 1x2 + x3 + -1x4 + x5 + (1 * x3 + x * x3 + -1x2 * x3 + x3 * x3)) = 0
(-1 + -1x + 1x2 + -1x3 + 1x + x2 + -1x3 + x4 + 1x2 + x3 + -1x4 + x5 + (1x3 + x4 + -1x5 + x6)) = 0

Reorder the terms:
(-1 + -1x + 1x + 1x2 + x2 + 1x2 + -1x3 + -1x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: -1x + 1x = 0
(-1 + 0 + 1x2 + x2 + 1x2 + -1x3 + -1x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0
(-1 + 1x2 + x2 + 1x2 + -1x3 + -1x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: 1x2 + x2 = 2x2
(-1 + 2x2 + 1x2 + -1x3 + -1x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: 2x2 + 1x2 = 3x2
(-1 + 3x2 + -1x3 + -1x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: -1x3 + -1x3 = -2x3
(-1 + 3x2 + -2x3 + x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: -2x3 + x3 = -1x3
(-1 + 3x2 + -1x3 + 1x3 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: -1x3 + 1x3 = 0
(-1 + 3x2 + 0 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0
(-1 + 3x2 + x4 + -1x4 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: x4 + -1x4 = 0
(-1 + 3x2 + 0 + x4 + x5 + -1x5 + x6) = 0
(-1 + 3x2 + x4 + x5 + -1x5 + x6) = 0

Combine like terms: x5 + -1x5 = 0
(-1 + 3x2 + x4 + 0 + x6) = 0
(-1 + 3x2 + x4 + x6) = 0

Solving
-1 + 3x2 + x4 + x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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