12x^3-2x^2=0

Solution for 12x^3-2x^2=0 equation:

Simplifying
12x3 + -2x2 = 0

Reorder the terms:
-2x2 + 12x3 = 0

Solving
-2x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-1 + 6x) = 0

Ignore the factor 2.
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 + 6x)' equal to zero and attempt to solve:

Simplifying
-1 + 6x = 0

Solving
-1 + 6x = 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 + 6x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 0 + 1
6x = 0 + 1

Combine like terms: 0 + 1 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {0, 0.1666666667}