9n^2-30n=

Solution for 9n^2-30n= equation:

Simplifying
9n2 + -30n = 0

Reorder the terms:
-30n + 9n2 = 0

Solving
-30n + 9n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-10 + 3n) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-10 + 3n)' equal to zero and attempt to solve:

Simplifying
-10 + 3n = 0

Solving
-10 + 3n = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3n = 0 + 10
3n = 0 + 10

Combine like terms: 0 + 10 = 10
3n = 10

Divide each side by '3'.
n = 3.333333333

Simplifying
n = 3.333333333
Solution
n = {0, 3.333333333}