s(5s-9)=0

Solution for s(5s-9)=0 equation:

Simplifying
s(5s + -9) = 0

Reorder the terms:
s(-9 + 5s) = 0
(-9 * s + 5s * s) = 0
(-9s + 5s2) = 0

Solving
-9s + 5s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-9 + 5s) = 0

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 '(-9 + 5s)' equal to zero and attempt to solve:

Simplifying
-9 + 5s = 0

Solving
-9 + 5s = 0

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

Add '9' to each side of the equation.
-9 + 9 + 5s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5s = 0 + 9
5s = 0 + 9

Combine like terms: 0 + 9 = 9
5s = 9

Divide each side by '5'.
s = 1.8

Simplifying
s = 1.8
Solution
s = {0, 1.8}