6n^3-9n^2=0

Solution for 6n^3-9n^2=0 equation:

Simplifying
6n3 + -9n2 = 0

Reorder the terms:
-9n2 + 6n3 = 0

Solving
-9n2 + 6n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n2'.
3n2(-3 + 2n) = 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 '(-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 = {0, 1.5}