(4s-3)(5s-5)=

Solution for (4s-3)(5s-5)= equation:

Simplifying
(4s + -3)(5s + -5) = 0

Reorder the terms:
(-3 + 4s)(5s + -5) = 0

Reorder the terms:
(-3 + 4s)(-5 + 5s) = 0

Multiply (-3 + 4s) * (-5 + 5s)
(-3(-5 + 5s) + 4s * (-5 + 5s)) = 0
((-5 * -3 + 5s * -3) + 4s * (-5 + 5s)) = 0
((15 + -15s) + 4s * (-5 + 5s)) = 0
(15 + -15s + (-5 * 4s + 5s * 4s)) = 0
(15 + -15s + (-20s + 20s2)) = 0

Combine like terms: -15s + -20s = -35s
(15 + -35s + 20s2) = 0

Solving
15 + -35s + 20s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7s + 4s2) = 0

Factor a trinomial.
5((3 + -4s)(1 + -1s)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -4s)' equal to zero and attempt to solve:

Simplifying
3 + -4s = 0

Solving
3 + -4s = 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 + -4s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4s = 0 + -3
-4s = 0 + -3

Combine like terms: 0 + -3 = -3
-4s = -3

Divide each side by '-4'.
s = 0.75

Simplifying
s = 0.75
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 = {0.75, 1}