0=(15x^4)-(60x^2)

Solution for 0=(15x^4)-(60x^2) equation:

Simplifying
0 = (15x4) + -1(60x2)

Remove parenthesis around (60x2)
0 = (15x4) + -1 * 60x2

Multiply -1 * 60
0 = (15x4) + -60x2

Reorder the terms:
0 = -60x2 + (15x4)

Solving
0 = -60x2 + (15x4)

Solving for variable 'x'.
Remove the zero:
60x2 + (-15x4) = -60x2 + (15x4) + 60x2 + (-15x4)

Reorder the terms:
60x2 + (-15x4) = -60x2 + 60x2 + (15x4) + (-15x4)

Combine like terms: -60x2 + 60x2 = 0
60x2 + (-15x4) = 0 + (15x4) + (-15x4)
60x2 + (-15x4) = (15x4) + (-15x4)

Combine like terms: (15x4) + (-15x4) = 0
60x2 + (-15x4) = 0

Factor out the Greatest Common Factor (GCF), '15x2'.
15x2(4 + (-1x2)) = 0

Factor a difference between two squares.
15x2((2 + x)(2 + (-1x))) = 0

Ignore the factor 15.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Subproblem 3
Set the factor '(2 + (-1x))' equal to zero and attempt to solve:

Simplifying
2 + (-1x) = 0

Solving
2 + (-1x) = 0

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

Add '-2' to each side of the equation.
2 + -2 + (-1x) = 0 + -2

Combine like terms: 2 + -2 = 0
0 + (-1x) = 0 + -2
(-1x) = 0 + -2

Combine like terms: 0 + -2 = -2
(-1x) = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -2, 2}