X^3-x^2-1=0

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Solution for X^3-x^2-1=0 equation:


Simplifying
X3 + -1x2 + -1 = 0

Reorder the terms:
-1 + X3 + -1x2 = 0

Solving
-1 + X3 + -1x2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + X3 + 1 + -1x2 = 0 + 1

Reorder the terms:
-1 + 1 + X3 + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X3 + -1x2 = 0 + 1
X3 + -1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
X3 + -1x2 = 1

Add 'x2' to each side of the equation.
X3 + -1x2 + x2 = 1 + x2

Combine like terms: -1x2 + x2 = 0
X3 + 0 = 1 + x2
X3 = 1 + x2

Simplifying
X3 = 1 + x2

Reorder the terms:
-1 + X3 + -1x2 = 1 + x2 + -1 + -1x2

Reorder the terms:
-1 + X3 + -1x2 = 1 + -1 + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + X3 + -1x2 = 0 + x2 + -1x2
-1 + X3 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + X3 + -1x2 = 0

The solution to this equation could not be determined.

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