x^8-4x^6-25x^4+100x^2=0

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Solution for x^8-4x^6-25x^4+100x^2=0 equation: 


Simplifying
x8 + -4x6 + -25x4 + 100x2 = 0

Reorder the terms:
100x2 + -25x4 + -4x6 + x8 = 0

Solving
100x2 + -25x4 + -4x6 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(100 + -25x2 + -4x4 + x6) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(100 + -25x2 + -4x4 + x6)' equal to zero and attempt to solve:

Simplifying
100 + -25x2 + -4x4 + x6 = 0

Solving
100 + -25x2 + -4x4 + x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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