0=6n-n^2

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

Simplifying
0 = 6n + -1n2

Solving
0 = 6n + -1n2

Solving for variable 'n'.
Remove the zero:
-6n + n2 = 6n + -1n2 + -6n + n2

Reorder the terms:
-6n + n2 = 6n + -6n + -1n2 + n2

Combine like terms: 6n + -6n = 0
-6n + n2 = 0 + -1n2 + n2
-6n + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
-6n + n2 = 0

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

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 '(-6 + n)' equal to zero and attempt to solve:

Simplifying
-6 + n = 0

Solving
-6 + n = 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 + n = 0 + 6

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

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

Simplifying
n = 6
Solution
n = {0, 6}