3X^3-X=0

Solution for 3X^3-X=0 equation:

Simplifying
3X3 + -1X = 0

Reorder the terms:
-1X + 3X3 = 0

Solving
-1X + 3X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-1 + 3X2) = 0

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 '(-1 + 3X2)' equal to zero and attempt to solve:

Simplifying
-1 + 3X2 = 0

Solving
-1 + 3X2 = 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 + 3X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3X2 = 0 + 1
3X2 = 0 + 1

Combine like terms: 0 + 1 = 1
3X2 = 1

Divide each side by '3'.
X2 = 0.3333333333

Simplifying
X2 = 0.3333333333

Take the square root of each side:
X = {-0.577350269, 0.577350269}
Solution
X = {0, -0.577350269, 0.577350269}