(x^2-x-1)(x^2-x-1)=5+x^3

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Solution for (x^2-x-1)(x^2-x-1)=5+x^3 equation: 


Simplifying
(x2 + -1x + -1)(x2 + -1x + -1) = 5 + x3

Reorder the terms:
(-1 + -1x + x2)(x2 + -1x + -1) = 5 + x3

Reorder the terms:
(-1 + -1x + x2)(-1 + -1x + x2) = 5 + x3

Multiply (-1 + -1x + x2) * (-1 + -1x + x2)
(-1(-1 + -1x + x2) + -1x * (-1 + -1x + x2) + x2(-1 + -1x + x2)) = 5 + x3
((-1 * -1 + -1x * -1 + x2 * -1) + -1x * (-1 + -1x + x2) + x2(-1 + -1x + x2)) = 5 + x3
((1 + 1x + -1x2) + -1x * (-1 + -1x + x2) + x2(-1 + -1x + x2)) = 5 + x3
(1 + 1x + -1x2 + (-1 * -1x + -1x * -1x + x2 * -1x) + x2(-1 + -1x + x2)) = 5 + x3
(1 + 1x + -1x2 + (1x + 1x2 + -1x3) + x2(-1 + -1x + x2)) = 5 + x3
(1 + 1x + -1x2 + 1x + 1x2 + -1x3 + (-1 * x2 + -1x * x2 + x2 * x2)) = 5 + x3
(1 + 1x + -1x2 + 1x + 1x2 + -1x3 + (-1x2 + -1x3 + x4)) = 5 + x3

Reorder the terms:
(1 + 1x + 1x + -1x2 + 1x2 + -1x2 + -1x3 + -1x3 + x4) = 5 + x3

Combine like terms: 1x + 1x = 2x
(1 + 2x + -1x2 + 1x2 + -1x2 + -1x3 + -1x3 + x4) = 5 + x3

Combine like terms: -1x2 + 1x2 = 0
(1 + 2x + 0 + -1x2 + -1x3 + -1x3 + x4) = 5 + x3
(1 + 2x + -1x2 + -1x3 + -1x3 + x4) = 5 + x3

Combine like terms: -1x3 + -1x3 = -2x3
(1 + 2x + -1x2 + -2x3 + x4) = 5 + x3

Solving
1 + 2x + -1x2 + -2x3 + x4 = 5 + x3

Solving for variable 'x'.

Reorder the terms:
1 + -5 + 2x + -1x2 + -2x3 + -1x3 + x4 = 5 + x3 + -5 + -1x3

Combine like terms: 1 + -5 = -4
-4 + 2x + -1x2 + -2x3 + -1x3 + x4 = 5 + x3 + -5 + -1x3

Combine like terms: -2x3 + -1x3 = -3x3
-4 + 2x + -1x2 + -3x3 + x4 = 5 + x3 + -5 + -1x3

Reorder the terms:
-4 + 2x + -1x2 + -3x3 + x4 = 5 + -5 + x3 + -1x3

Combine like terms: 5 + -5 = 0
-4 + 2x + -1x2 + -3x3 + x4 = 0 + x3 + -1x3
-4 + 2x + -1x2 + -3x3 + x4 = x3 + -1x3

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

The solution to this equation could not be determined.

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