-3n(2n+8)=0

Solution for -3n(2n+8)=0 equation:

Simplifying
-3n(2n + 8) = 0

Reorder the terms:
-3n(8 + 2n) = 0
(8 * -3n + 2n * -3n) = 0
(-24n + -6n2) = 0

Solving
-24n + -6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-6n'.
-6n(4 + n) = 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 '(4 + n)' equal to zero and attempt to solve:

Simplifying
4 + n = 0

Solving
4 + n = 0

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

Add '-4' to each side of the equation.
4 + -4 + n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + n = 0 + -4
n = 0 + -4

Combine like terms: 0 + -4 = -4
n = -4

Simplifying
n = -4
Solution
n = {0, -4}