36x^6-15x^2=0

Solution for 36x^6-15x^2=0 equation:

Simplifying
36x6 + -15x2 = 0

Reorder the terms:
-15x2 + 36x6 = 0

Solving
-15x2 + 36x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-5 + 12x4) = 0

Ignore the factor 3.
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 '(-5 + 12x4)' equal to zero and attempt to solve:

Simplifying
-5 + 12x4 = 0

Solving
-5 + 12x4 = 0

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

Add '5' to each side of the equation.
-5 + 5 + 12x4 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12x4 = 0 + 5
12x4 = 0 + 5

Combine like terms: 0 + 5 = 5
12x4 = 5

Divide each side by '12'.
x4 = 0.4166666667

Simplifying
x4 = 0.4166666667

The solution to this equation could not be determined.

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