X^8-5x^6-25x^4+125x^2=0

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Solution for X^8-5x^6-25x^4+125x^2=0 equation: 


Simplifying
X8 + -5x6 + -25x4 + 125x2 = 0

Reorder the terms:
X8 + 125x2 + -25x4 + -5x6 = 0

Solving
X8 + 125x2 + -25x4 + -5x6 = 0

Solving for variable 'X'.

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

Add '-125x2' to each side of the equation.
X8 + 125x2 + -25x4 + -125x2 + -5x6 = 0 + -125x2

Reorder the terms:
X8 + 125x2 + -125x2 + -25x4 + -5x6 = 0 + -125x2

Combine like terms: 125x2 + -125x2 = 0
X8 + 0 + -25x4 + -5x6 = 0 + -125x2
X8 + -25x4 + -5x6 = 0 + -125x2
Remove the zero:
X8 + -25x4 + -5x6 = -125x2

Add '25x4' to each side of the equation.
X8 + -25x4 + 25x4 + -5x6 = -125x2 + 25x4

Combine like terms: -25x4 + 25x4 = 0
X8 + 0 + -5x6 = -125x2 + 25x4
X8 + -5x6 = -125x2 + 25x4

Add '5x6' to each side of the equation.
X8 + -5x6 + 5x6 = -125x2 + 25x4 + 5x6

Combine like terms: -5x6 + 5x6 = 0
X8 + 0 = -125x2 + 25x4 + 5x6
X8 = -125x2 + 25x4 + 5x6

Simplifying
X8 = -125x2 + 25x4 + 5x6

Reorder the terms:
X8 + 125x2 + -25x4 + -5x6 = -125x2 + 125x2 + 25x4 + -25x4 + 5x6 + -5x6

Combine like terms: -125x2 + 125x2 = 0
X8 + 125x2 + -25x4 + -5x6 = 0 + 25x4 + -25x4 + 5x6 + -5x6
X8 + 125x2 + -25x4 + -5x6 = 25x4 + -25x4 + 5x6 + -5x6

Combine like terms: 25x4 + -25x4 = 0
X8 + 125x2 + -25x4 + -5x6 = 0 + 5x6 + -5x6
X8 + 125x2 + -25x4 + -5x6 = 5x6 + -5x6

Combine like terms: 5x6 + -5x6 = 0
X8 + 125x2 + -25x4 + -5x6 = 0

The solution to this equation could not be determined.

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