5s^2-6s=0

Solution for 5s^2-6s=0 equation:

Simplifying
5s2 + -6s = 0

Reorder the terms:
-6s + 5s2 = 0

Solving
-6s + 5s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-6 + 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 '(-6 + 5s)' equal to zero and attempt to solve:

Simplifying
-6 + 5s = 0

Solving
-6 + 5s = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5s = 0 + 6
5s = 0 + 6

Combine like terms: 0 + 6 = 6
5s = 6

Divide each side by '5'.
s = 1.2

Simplifying
s = 1.2
Solution
s = {0, 1.2}