9n^3-3n^2=

Solution for 9n^3-3n^2= equation:

Simplifying
9n3 + -3n2 = 0

Reorder the terms:
-3n2 + 9n3 = 0

Solving
-3n2 + 9n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n2'.
3n2(-1 + 3n) = 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 '(-1 + 3n)' equal to zero and attempt to solve:

Simplifying
-1 + 3n = 0

Solving
-1 + 3n = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3n = 0 + 1
3n = 0 + 1

Combine like terms: 0 + 1 = 1
3n = 1

Divide each side by '3'.
n = 0.3333333333

Simplifying
n = 0.3333333333
Solution
n = {0, 0.3333333333}