21n^3+18n^2=0

Solution for 21n^3+18n^2=0 equation:

Simplifying
21n3 + 18n2 = 0

Reorder the terms:
18n2 + 21n3 = 0

Solving
18n2 + 21n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n2'.
3n2(6 + 7n) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}
Subproblem 2
Set the factor '(6 + 7n)' equal to zero and attempt to solve:

Simplifying
6 + 7n = 0

Solving
6 + 7n = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 0 + -6
7n = 0 + -6

Combine like terms: 0 + -6 = -6
7n = -6

Divide each side by '7'.
n = -0.8571428571

Simplifying
n = -0.8571428571
Solution
n = {0, -0.8571428571}