X^4-12x^2+4x=0

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Solution for X^4-12x^2+4x=0 equation: 


Simplifying
X4 + -12x2 + 4x = 0

Reorder the terms:
X4 + 4x + -12x2 = 0

Solving
X4 + 4x + -12x2 = 0

Solving for variable 'X'.

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

Add '-4x' to each side of the equation.
X4 + 4x + -4x + -12x2 = 0 + -4x

Combine like terms: 4x + -4x = 0
X4 + 0 + -12x2 = 0 + -4x
X4 + -12x2 = 0 + -4x
Remove the zero:
X4 + -12x2 = -4x

Add '12x2' to each side of the equation.
X4 + -12x2 + 12x2 = -4x + 12x2

Combine like terms: -12x2 + 12x2 = 0
X4 + 0 = -4x + 12x2
X4 = -4x + 12x2

Simplifying
X4 = -4x + 12x2

Reorder the terms:
X4 + 4x + -12x2 = -4x + 4x + 12x2 + -12x2

Combine like terms: -4x + 4x = 0
X4 + 4x + -12x2 = 0 + 12x2 + -12x2
X4 + 4x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
X4 + 4x + -12x2 = 0

Factor a trinomial.
(X2 + -2x)(X2 + 6x) = 0


Subproblem 1
Set the factor '(X2 + -2x)' equal to zero and attempt to solve:

Simplifying
X2 + -2x = 0

Solving
X2 + -2x = 0

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

Add '2x' to each side of the equation.
X2 + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 = 0 + 2x
X2 = 0 + 2x
Remove the zero:
X2 = 2x

Simplifying
X2 = 2x

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 + 6x)' equal to zero and attempt to solve:

Simplifying
X2 + 6x = 0

Solving
X2 + 6x = 0

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

Add '-6x' to each side of the equation.
X2 + 6x + -6x = 0 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 = 0 + -6x
X2 = 0 + -6x
Remove the zero:
X2 = -6x

Simplifying
X2 = -6x

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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