64x^8+48x^6+12x^4+x^2=0

Solution for 64x^8+48x^6+12x^4+x^2=0 equation:

Simplifying
64x8 + 48x6 + 12x4 + x2 = 0

Reorder the terms:
x2 + 12x4 + 48x6 + 64x8 = 0

Solving
x2 + 12x4 + 48x6 + 64x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + 12x2 + 48x4 + 64x6) = 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 '(1 + 12x2 + 48x4 + 64x6)' equal to zero and attempt to solve:

Simplifying
1 + 12x2 + 48x4 + 64x6 = 0

Solving
1 + 12x2 + 48x4 + 64x6 = 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}