3x^3-60x=0

Solution for 3x^3-60x=0 equation:

Simplifying
3x3 + -60x = 0

Reorder the terms:
-60x + 3x3 = 0

Solving
-60x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-20 + x2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-20 + x2)' equal to zero and attempt to solve:

Simplifying
-20 + x2 = 0

Solving
-20 + x2 = 0

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

Add '20' to each side of the equation.
-20 + 20 + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x2 = 0 + 20
x2 = 0 + 20

Combine like terms: 0 + 20 = 20
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}
Solution
x = {0, -4.472135955, 4.472135955}