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

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


Simplifying
(x2 + -2x + -1)(x2 + -2x + -1) + (x2 + -2x + -1) + 1 = 0

Reorder the terms:
(-1 + -2x + x2)(x2 + -2x + -1) + (x2 + -2x + -1) + 1 = 0

Reorder the terms:
(-1 + -2x + x2)(-1 + -2x + x2) + (x2 + -2x + -1) + 1 = 0

Multiply (-1 + -2x + x2) * (-1 + -2x + x2)
(-1(-1 + -2x + x2) + -2x * (-1 + -2x + x2) + x2(-1 + -2x + x2)) + (x2 + -2x + -1) + 1 = 0
((-1 * -1 + -2x * -1 + x2 * -1) + -2x * (-1 + -2x + x2) + x2(-1 + -2x + x2)) + (x2 + -2x + -1) + 1 = 0
((1 + 2x + -1x2) + -2x * (-1 + -2x + x2) + x2(-1 + -2x + x2)) + (x2 + -2x + -1) + 1 = 0
(1 + 2x + -1x2 + (-1 * -2x + -2x * -2x + x2 * -2x) + x2(-1 + -2x + x2)) + (x2 + -2x + -1) + 1 = 0
(1 + 2x + -1x2 + (2x + 4x2 + -2x3) + x2(-1 + -2x + x2)) + (x2 + -2x + -1) + 1 = 0
(1 + 2x + -1x2 + 2x + 4x2 + -2x3 + (-1 * x2 + -2x * x2 + x2 * x2)) + (x2 + -2x + -1) + 1 = 0
(1 + 2x + -1x2 + 2x + 4x2 + -2x3 + (-1x2 + -2x3 + x4)) + (x2 + -2x + -1) + 1 = 0

Reorder the terms:
(1 + 2x + 2x + -1x2 + 4x2 + -1x2 + -2x3 + -2x3 + x4) + (x2 + -2x + -1) + 1 = 0

Combine like terms: 2x + 2x = 4x
(1 + 4x + -1x2 + 4x2 + -1x2 + -2x3 + -2x3 + x4) + (x2 + -2x + -1) + 1 = 0

Combine like terms: -1x2 + 4x2 = 3x2
(1 + 4x + 3x2 + -1x2 + -2x3 + -2x3 + x4) + (x2 + -2x + -1) + 1 = 0

Combine like terms: 3x2 + -1x2 = 2x2
(1 + 4x + 2x2 + -2x3 + -2x3 + x4) + (x2 + -2x + -1) + 1 = 0

Combine like terms: -2x3 + -2x3 = -4x3
(1 + 4x + 2x2 + -4x3 + x4) + (x2 + -2x + -1) + 1 = 0

Reorder the terms:
1 + 4x + 2x2 + -4x3 + x4 + (-1 + -2x + x2) + 1 = 0

Remove parenthesis around (-1 + -2x + x2)
1 + 4x + 2x2 + -4x3 + x4 + -1 + -2x + x2 + 1 = 0

Reorder the terms:
1 + -1 + 1 + 4x + -2x + 2x2 + x2 + -4x3 + x4 = 0

Combine like terms: 1 + -1 = 0
0 + 1 + 4x + -2x + 2x2 + x2 + -4x3 + x4 = 0
1 + 4x + -2x + 2x2 + x2 + -4x3 + x4 = 0

Combine like terms: 4x + -2x = 2x
1 + 2x + 2x2 + x2 + -4x3 + x4 = 0

Combine like terms: 2x2 + x2 = 3x2
1 + 2x + 3x2 + -4x3 + x4 = 0

Solving
1 + 2x + 3x2 + -4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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