(5s-3)(6s-5)=0

Solution for (5s-3)(6s-5)=0 equation:

Simplifying
(5s + -3)(6s + -5) = 0

Reorder the terms:
(-3 + 5s)(6s + -5) = 0

Reorder the terms:
(-3 + 5s)(-5 + 6s) = 0

Multiply (-3 + 5s) * (-5 + 6s)
(-3(-5 + 6s) + 5s * (-5 + 6s)) = 0
((-5 * -3 + 6s * -3) + 5s * (-5 + 6s)) = 0
((15 + -18s) + 5s * (-5 + 6s)) = 0
(15 + -18s + (-5 * 5s + 6s * 5s)) = 0
(15 + -18s + (-25s + 30s2)) = 0

Combine like terms: -18s + -25s = -43s
(15 + -43s + 30s2) = 0

Solving
15 + -43s + 30s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -5s)(5 + -6s) = 0

Subproblem 1
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Subproblem 2
Set the factor '(5 + -6s)' equal to zero and attempt to solve:

Simplifying
5 + -6s = 0

Solving
5 + -6s = 0

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

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

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

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

Divide each side by '-6'.
s = 0.8333333333

Simplifying
s = 0.8333333333
Solution
s = {0.6, 0.8333333333}