3n^3(2n+3)=0

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

Simplifying
3n3(2n + 3) = 0

Reorder the terms:
3n3(3 + 2n) = 0
(3 * 3n3 + 2n * 3n3) = 0
(9n3 + 6n4) = 0

Solving
9n3 + 6n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n3'.
3n3(3 + 2n) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve:

Simplifying
n3 = 0

Solving
n3 = 0

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

Simplifying
n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve:

Simplifying
3 + 2n = 0

Solving
3 + 2n = 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 + 2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 0 + -3
2n = 0 + -3

Combine like terms: 0 + -3 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5
Solution
n = {-1.5}