6n(10n-3)=0

Solution for 6n(10n-3)=0 equation:

Simplifying
6n(10n + -3) = 0

Reorder the terms:
6n(-3 + 10n) = 0
(-3 * 6n + 10n * 6n) = 0
(-18n + 60n2) = 0

Solving
-18n + 60n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(-3 + 10n) = 0

Ignore the factor 6.
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 '(-3 + 10n)' equal to zero and attempt to solve:

Simplifying
-3 + 10n = 0

Solving
-3 + 10n = 0

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

Add '3' to each side of the equation.
-3 + 3 + 10n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10n = 0 + 3
10n = 0 + 3

Combine like terms: 0 + 3 = 3
10n = 3

Divide each side by '10'.
n = 0.3

Simplifying
n = 0.3
Solution
n = {0, 0.3}