X^4+2x^2=6x^2

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


Simplifying
X4 + 2x2 = 6x2

Solving
X4 + 2x2 = 6x2

Solving for variable 'X'.

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

Add '-2x2' to each side of the equation.
X4 + 2x2 + -2x2 = 6x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
X4 + 0 = 6x2 + -2x2
X4 = 6x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
X4 = 4x2

Simplifying
X4 = 4x2

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

Factor a difference between two squares.
(X2 + 2x)(X2 + -2x) = 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 + -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.

The solution to this equation could not be determined.

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