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

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


Simplifying
X4 + 4x2 + x + 1 = 0

Reorder the terms:
1 + X4 + x + 4x2 = 0

Solving
1 + X4 + x + 4x2 = 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 + X4 + x + -1 + 4x2 = 0 + -1

Reorder the terms:
1 + -1 + X4 + x + 4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X4 + x + 4x2 = 0 + -1
X4 + x + 4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
X4 + x + 4x2 = -1

Add '-1x' to each side of the equation.
X4 + x + -1x + 4x2 = -1 + -1x

Combine like terms: x + -1x = 0
X4 + 0 + 4x2 = -1 + -1x
X4 + 4x2 = -1 + -1x

Add '-4x2' to each side of the equation.
X4 + 4x2 + -4x2 = -1 + -1x + -4x2

Combine like terms: 4x2 + -4x2 = 0
X4 + 0 = -1 + -1x + -4x2
X4 = -1 + -1x + -4x2

Simplifying
X4 = -1 + -1x + -4x2

Reorder the terms:
1 + X4 + x + 4x2 = -1 + -1x + -4x2 + 1 + x + 4x2

Reorder the terms:
1 + X4 + x + 4x2 = -1 + 1 + -1x + x + -4x2 + 4x2

Combine like terms: -1 + 1 = 0
1 + X4 + x + 4x2 = 0 + -1x + x + -4x2 + 4x2
1 + X4 + x + 4x2 = -1x + x + -4x2 + 4x2

Combine like terms: -1x + x = 0
1 + X4 + x + 4x2 = 0 + -4x2 + 4x2
1 + X4 + x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + X4 + x + 4x2 = 0

The solution to this equation could not be determined.

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