X^6-625x^2=0

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Solution for X^6-625x^2=0 equation: 


Simplifying
X6 + -625x2 = 0

Solving
X6 + -625x2 = 0

Solving for variable 'X'.

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

Add '625x2' to each side of the equation.
X6 + -625x2 + 625x2 = 0 + 625x2

Combine like terms: -625x2 + 625x2 = 0
X6 + 0 = 0 + 625x2
X6 = 0 + 625x2
Remove the zero:
X6 = 625x2

Simplifying
X6 = 625x2

Combine like terms: 625x2 + -625x2 = 0
X6 + -625x2 = 0

Factor a difference between two squares.
(X3 + 25x)(X3 + -25x) = 0


Subproblem 1
Set the factor '(X3 + 25x)' equal to zero and attempt to solve:

Simplifying
X3 + 25x = 0

Solving
X3 + 25x = 0

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

Add '-25x' to each side of the equation.
X3 + 25x + -25x = 0 + -25x

Combine like terms: 25x + -25x = 0
X3 + 0 = 0 + -25x
X3 = 0 + -25x
Remove the zero:
X3 = -25x

Simplifying
X3 = -25x

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 + -25x)' equal to zero and attempt to solve:

Simplifying
X3 + -25x = 0

Solving
X3 + -25x = 0

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

Add '25x' to each side of the equation.
X3 + -25x + 25x = 0 + 25x

Combine like terms: -25x + 25x = 0
X3 + 0 = 0 + 25x
X3 = 0 + 25x
Remove the zero:
X3 = 25x

Simplifying
X3 = 25x

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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