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

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


Simplifying
x4 + x2 + X + 1 = 0

Reorder the terms:
1 + X + x2 + x4 = 0

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

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

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

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

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

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

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

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

Simplifying
X = -1 + -1x2 + -1x4

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