8x^8-4x^4+12x^2=0

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Solution for 8x^8-4x^4+12x^2=0 equation: 


Simplifying
8x8 + -4x4 + 12x2 = 0

Reorder the terms:
12x2 + -4x4 + 8x8 = 0

Solving
12x2 + -4x4 + 8x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(3 + -1x2 + 2x6) = 0

Ignore the factor 4.

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 '(3 + -1x2 + 2x6)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 + 2x6 = 0

Solving
3 + -1x2 + 2x6 = 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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