3y(6y-1)=0

Solution for 3y(6y-1)=0 equation:

Simplifying
3y(6y + -1) = 0

Reorder the terms:
3y(-1 + 6y) = 0
(-1 * 3y + 6y * 3y) = 0
(-3y + 18y2) = 0

Solving
-3y + 18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-1 + 6y) = 0

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-1 + 6y)' equal to zero and attempt to solve:

Simplifying
-1 + 6y = 0

Solving
-1 + 6y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 6y = 0 + 1

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

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

Divide each side by '6'.
y = 0.1666666667

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