X^6-256x^2=0

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Solution for X^6-256x^2=0 equation: 


Simplifying
X6 + -256x2 = 0

Solving
X6 + -256x2 = 0

Solving for variable 'X'.

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

Add '256x2' to each side of the equation.
X6 + -256x2 + 256x2 = 0 + 256x2

Combine like terms: -256x2 + 256x2 = 0
X6 + 0 = 0 + 256x2
X6 = 0 + 256x2
Remove the zero:
X6 = 256x2

Simplifying
X6 = 256x2

Combine like terms: 256x2 + -256x2 = 0
X6 + -256x2 = 0

Factor a difference between two squares.
(X3 + 16x)(X3 + -16x) = 0


Subproblem 1
Set the factor '(X3 + 16x)' equal to zero and attempt to solve:

Simplifying
X3 + 16x = 0

Solving
X3 + 16x = 0

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

Add '-16x' to each side of the equation.
X3 + 16x + -16x = 0 + -16x

Combine like terms: 16x + -16x = 0
X3 + 0 = 0 + -16x
X3 = 0 + -16x
Remove the zero:
X3 = -16x

Simplifying
X3 = -16x

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 '(X3 + -16x)' equal to zero and attempt to solve:

Simplifying
X3 + -16x = 0

Solving
X3 + -16x = 0

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

Add '16x' to each side of the equation.
X3 + -16x + 16x = 0 + 16x

Combine like terms: -16x + 16x = 0
X3 + 0 = 0 + 16x
X3 = 0 + 16x
Remove the zero:
X3 = 16x

Simplifying
X3 = 16x

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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