-36x^2-60x^4=0

Solution for -36x^2-60x^4=0 equation:

Simplifying
-36x2 + -60x4 = 0

Solving
-36x2 + -60x4 = 0

Solving for variable 'x'.

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

Ignore the factor -12.
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 + 5x2)' equal to zero and attempt to solve:

Simplifying
3 + 5x2 = 0

Solving
3 + 5x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x2 = 0 + -3
5x2 = 0 + -3

Combine like terms: 0 + -3 = -3
5x2 = -3

Divide each side by '5'.
x2 = -0.6

Simplifying
x2 = -0.6

The solution to this equation could not be determined.

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