6n(3n+10)=

Solution for 6n(3n+10)= equation:

Simplifying
6n(3n + 10) = 0

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

Solving
60n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(10 + 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 '(10 + 3n)' equal to zero and attempt to solve:

Simplifying
10 + 3n = 0

Solving
10 + 3n = 0

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

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

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

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

Divide each side by '3'.
n = -3.333333333

Simplifying
n = -3.333333333
Solution
n = {0, -3.333333333}