(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 = 4s
(-24 + 4s + 20s2) = 0

Solving
-24 + 4s + 20s2 = 0

Solving for variable 's'.

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

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

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