100y-y^2=0

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

Simplifying
100y + -1y2 = 0

Solving
100y + -1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(100 + -1y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(100 + -1y)' equal to zero and attempt to solve:

Simplifying
100 + -1y = 0

Solving
100 + -1y = 0

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

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

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

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

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

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