(12x^2)-6x=0

Solution for (12x^2)-6x=0 equation:

Simplifying
(12x2) + -6x = 0

Reorder the terms:
-6x + (12x2) = 0

Solving
-6x + (12x2) = 0

Solving for variable 'x'.

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

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

Simplifying
-1 + (2x) = 0

Solving
-1 + (2x) = 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 + (2x) = 0 + 1

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}