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

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

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

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

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

Multiply (-4 + 4s) * (-6 + 5s)
(-4(-6 + 5s) + 4s * (-6 + 5s)) = 0
((-6 * -4 + 5s * -4) + 4s * (-6 + 5s)) = 0
((24 + -20s) + 4s * (-6 + 5s)) = 0
(24 + -20s + (-6 * 4s + 5s * 4s)) = 0
(24 + -20s + (-24s + 20s2)) = 0

Combine like terms: -20s + -24s = -44s
(24 + -44s + 20s2) = 0

Solving
24 + -44s + 20s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -11s + 5s2) = 0

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

Ignore the factor 4.
Subproblem 1
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
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 = {1, 1.2}