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

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

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

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

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

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

Solving
-60x2 + (60x4) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '60x2'.
60x2(-1 + x2) = 0

Factor a difference between two squares.
60x2((1 + x)(-1 + x)) = 0

Ignore the factor 60.
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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}