100n-n^2=0

Solution for 100n-n^2=0 equation:

Simplifying
100n + -1n2 = 0

Solving
100n + -1n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(100 + -1n) = 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 '(100 + -1n)' equal to zero and attempt to solve:

Simplifying
100 + -1n = 0

Solving
100 + -1n = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1n = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1n = 0 + -100
-1n = 0 + -100

Combine like terms: 0 + -100 = -100
-1n = -100

Divide each side by '-1'.
n = 100

Simplifying
n = 100
Solution
n = {0, 100}