-6n(2n+5)=0

Solution for -6n(2n+5)=0 equation:

Simplifying
-6n(2n + 5) = 0

Reorder the terms:
-6n(5 + 2n) = 0
(5 * -6n + 2n * -6n) = 0
(-30n + -12n2) = 0

Solving
-30n + -12n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-6n'.
-6n(5 + 2n) = 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 + 2n)' equal to zero and attempt to solve:

Simplifying
5 + 2n = 0

Solving
5 + 2n = 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 + 2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 0 + -5
2n = 0 + -5

Combine like terms: 0 + -5 = -5
2n = -5

Divide each side by '2'.
n = -2.5

Simplifying
n = -2.5
Solution
n = {0, -2.5}