2n^3+54n^2=0

Solution for 2n^3+54n^2=0 equation:

Simplifying
2n3 + 54n2 = 0

Reorder the terms:
54n2 + 2n3 = 0

Solving
54n2 + 2n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n2'.
2n2(27 + n) = 0

Ignore the factor 2.
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 '(27 + n)' equal to zero and attempt to solve:

Simplifying
27 + n = 0

Solving
27 + n = 0

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

Add '-27' to each side of the equation.
27 + -27 + n = 0 + -27

Combine like terms: 27 + -27 = 0
0 + n = 0 + -27
n = 0 + -27

Combine like terms: 0 + -27 = -27
n = -27

Simplifying
n = -27
Solution
n = {0, -27}