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

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


Simplifying
X4 + 2x + -4x2 + x = 0

Reorder the terms:
X4 + 2x + x + -4x2 = 0

Combine like terms: 2x + x = 3x
X4 + 3x + -4x2 = 0

Solving
X4 + 3x + -4x2 = 0

Solving for variable 'X'.

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

Add '-3x' to each side of the equation.
X4 + 3x + -3x + -4x2 = 0 + -3x

Combine like terms: 3x + -3x = 0
X4 + 0 + -4x2 = 0 + -3x
X4 + -4x2 = 0 + -3x
Remove the zero:
X4 + -4x2 = -3x

Add '4x2' to each side of the equation.
X4 + -4x2 + 4x2 = -3x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X4 + 0 = -3x + 4x2
X4 = -3x + 4x2

Simplifying
X4 = -3x + 4x2

Reorder the terms:
X4 + 3x + -4x2 = -3x + 3x + 4x2 + -4x2

Combine like terms: -3x + 3x = 0
X4 + 3x + -4x2 = 0 + 4x2 + -4x2
X4 + 3x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
X4 + 3x + -4x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 4x) = 0


Subproblem 1
Set the factor '(X2 + -1x)' equal to zero and attempt to solve:

Simplifying
X2 + -1x = 0

Solving
X2 + -1x = 0

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

Add 'x' to each side of the equation.
X2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
X2 + 0 = 0 + x
X2 = 0 + x
Remove the zero:
X2 = x

Simplifying
X2 = x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(X2 + 4x)' equal to zero and attempt to solve:

Simplifying
X2 + 4x = 0

Solving
X2 + 4x = 0

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

Add '-4x' to each side of the equation.
X2 + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 = 0 + -4x
X2 = 0 + -4x
Remove the zero:
X2 = -4x

Simplifying
X2 = -4x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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