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

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


Simplifying
x3 + x2 + -2 = (x + -1)(x3 + -1)

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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