(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 = 5s
(-15 + 5s + 20s2) = 0

Solving
-15 + 5s + 20s2 = 0

Solving for variable 's'.

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

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

Ignore the factor 5.
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 '(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
Solution
s = {-1, 0.75}