(x-1)(x-1)(x-1)=1

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Solution for (x-1)(x-1)(x-1)=1 equation: 


Simplifying
(x + -1)(x + -1)(x + -1) = 1

Reorder the terms:
(-1 + x)(x + -1)(x + -1) = 1

Reorder the terms:
(-1 + x)(-1 + x)(x + -1) = 1

Reorder the terms:
(-1 + x)(-1 + x)(-1 + x) = 1

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x))(-1 + x) = 1
((-1 * -1 + x * -1) + x(-1 + x))(-1 + x) = 1
((1 + -1x) + x(-1 + x))(-1 + x) = 1
(1 + -1x + (-1 * x + x * x))(-1 + x) = 1
(1 + -1x + (-1x + x2))(-1 + x) = 1

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

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

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

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

Solving
-1 + 3x + -3x2 + x3 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + -1 + 3x + -3x2 + x3 = 1 + -1

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

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

The solution to this equation could not be determined.

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