100s^2-20s=0

Solution for 100s^2-20s=0 equation:

Simplifying
100s2 + -20s = 0

Reorder the terms:
-20s + 100s2 = 0

Solving
-20s + 100s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '20s'.
20s(-1 + 5s) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-1 + 5s)' equal to zero and attempt to solve:

Simplifying
-1 + 5s = 0

Solving
-1 + 5s = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5s = 0 + 1
5s = 0 + 1

Combine like terms: 0 + 1 = 1
5s = 1

Divide each side by '5'.
s = 0.2

Simplifying
s = 0.2
Solution
s = {0, 0.2}