4n(6n-1)=

Solution for 4n(6n-1)= equation:

Simplifying
4n(6n + -1) = 0

Reorder the terms:
4n(-1 + 6n) = 0
(-1 * 4n + 6n * 4n) = 0
(-4n + 24n2) = 0

Solving
-4n + 24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(-1 + 6n) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

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

Simplifying
-1 + 6n = 0

Solving
-1 + 6n = 0

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

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

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

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

Divide each side by '6'.
n = 0.1666666667

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