6n(3n-5)=

Solution for 6n(3n-5)= equation:

Simplifying
6n(3n + -5) = 0

Reorder the terms:
6n(-5 + 3n) = 0
(-5 * 6n + 3n * 6n) = 0
(-30n + 18n2) = 0

Solving
-30n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(-5 + 3n) = 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 '(-5 + 3n)' equal to zero and attempt to solve:

Simplifying
-5 + 3n = 0

Solving
-5 + 3n = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 0 + 5
3n = 0 + 5

Combine like terms: 0 + 5 = 5
3n = 5

Divide each side by '3'.
n = 1.666666667

Simplifying
n = 1.666666667
Solution
n = {0, 1.666666667}