X^6-x^4-x^2+1=0

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Solution for X^6-x^4-x^2+1=0 equation:


Simplifying
X6 + -1x4 + -1x2 + 1 = 0

Reorder the terms:
1 + X6 + -1x2 + -1x4 = 0

Solving
1 + X6 + -1x2 + -1x4 = 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 + X6 + -1x2 + -1 + -1x4 = 0 + -1

Reorder the terms:
1 + -1 + X6 + -1x2 + -1x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X6 + -1x2 + -1x4 = 0 + -1
X6 + -1x2 + -1x4 = 0 + -1

Combine like terms: 0 + -1 = -1
X6 + -1x2 + -1x4 = -1

Add 'x2' to each side of the equation.
X6 + -1x2 + x2 + -1x4 = -1 + x2

Combine like terms: -1x2 + x2 = 0
X6 + 0 + -1x4 = -1 + x2
X6 + -1x4 = -1 + x2

Add 'x4' to each side of the equation.
X6 + -1x4 + x4 = -1 + x2 + x4

Combine like terms: -1x4 + x4 = 0
X6 + 0 = -1 + x2 + x4
X6 = -1 + x2 + x4

Simplifying
X6 = -1 + x2 + x4

Reorder the terms:
1 + X6 + -1x2 + -1x4 = -1 + x2 + x4 + 1 + -1x2 + -1x4

Reorder the terms:
1 + X6 + -1x2 + -1x4 = -1 + 1 + x2 + -1x2 + x4 + -1x4

Combine like terms: -1 + 1 = 0
1 + X6 + -1x2 + -1x4 = 0 + x2 + -1x2 + x4 + -1x4
1 + X6 + -1x2 + -1x4 = x2 + -1x2 + x4 + -1x4

Combine like terms: x2 + -1x2 = 0
1 + X6 + -1x2 + -1x4 = 0 + x4 + -1x4
1 + X6 + -1x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
1 + X6 + -1x2 + -1x4 = 0

The solution to this equation could not be determined.

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