x^3+x=x^2+1

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Solution for x^3+x=x^2+1 equation: 


Simplifying
x3 + x = x2 + 1

Reorder the terms:
x + x3 = x2 + 1

Reorder the terms:
x + x3 = 1 + x2

Solving
x + x3 = 1 + x2

Solving for variable 'x'.

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

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

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

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

The solution to this equation could not be determined.

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