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

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


Simplifying
(x + -1)(x + 1) + 3 + -2x = x3 + x + 1

Reorder the terms:
(-1 + x)(x + 1) + 3 + -2x = x3 + x + 1

Reorder the terms:
(-1 + x)(1 + x) + 3 + -2x = x3 + x + 1

Multiply (-1 + x) * (1 + x)
(-1(1 + x) + x(1 + x)) + 3 + -2x = x3 + x + 1
((1 * -1 + x * -1) + x(1 + x)) + 3 + -2x = x3 + x + 1
((-1 + -1x) + x(1 + x)) + 3 + -2x = x3 + x + 1
(-1 + -1x + (1 * x + x * x)) + 3 + -2x = x3 + x + 1
(-1 + -1x + (1x + x2)) + 3 + -2x = x3 + x + 1

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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