(5s-4)(6s-6)=0

Solution for (5s-4)(6s-6)=0 equation:

Simplifying
(5s + -4)(6s + -6) = 0

Reorder the terms:
(-4 + 5s)(6s + -6) = 0

Reorder the terms:
(-4 + 5s)(-6 + 6s) = 0

Multiply (-4 + 5s) * (-6 + 6s)
(-4(-6 + 6s) + 5s * (-6 + 6s)) = 0
((-6 * -4 + 6s * -4) + 5s * (-6 + 6s)) = 0
((24 + -24s) + 5s * (-6 + 6s)) = 0
(24 + -24s + (-6 * 5s + 6s * 5s)) = 0
(24 + -24s + (-30s + 30s2)) = 0

Combine like terms: -24s + -30s = -54s
(24 + -54s + 30s2) = 0

Solving
24 + -54s + 30s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -9s + 5s2) = 0

Factor a trinomial.
6((4 + -5s)(1 + -1s)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + -5s)' equal to zero and attempt to solve:

Simplifying
4 + -5s = 0

Solving
4 + -5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5s = 0 + -4
-5s = 0 + -4

Combine like terms: 0 + -4 = -4
-5s = -4

Divide each side by '-5'.
s = 0.8

Simplifying
s = 0.8
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

Solving
1 + -1s = 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 + -1s = 0 + -1

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

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

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Solution
s = {0.8, 1}