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

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

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

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

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

Multiply (-3 + 3s) * (-5 + 4s)
(-3(-5 + 4s) + 3s * (-5 + 4s)) = 0
((-5 * -3 + 4s * -3) + 3s * (-5 + 4s)) = 0
((15 + -12s) + 3s * (-5 + 4s)) = 0
(15 + -12s + (-5 * 3s + 4s * 3s)) = 0
(15 + -12s + (-15s + 12s2)) = 0

Combine like terms: -12s + -15s = -27s
(15 + -27s + 12s2) = 0

Solving
15 + -27s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9s + 4s2) = 0

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

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

Simplifying
5 + -4s = 0

Solving
5 + -4s = 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 + -4s = 0 + -5

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

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

Divide each side by '-4'.
s = 1.25

Simplifying
s = 1.25
Solution
s = {1, 1.25}