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

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

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

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

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

Multiply (-4 + 5s) * (6 + 6s)
(-4(6 + 6s) + 5s * (6 + 6s)) = 0
((6 * -4 + 6s * -4) + 5s * (6 + 6s)) = 0
((-24 + -24s) + 5s * (6 + 6s)) = 0
(-24 + -24s + (6 * 5s + 6s * 5s)) = 0
(-24 + -24s + (30s + 30s2)) = 0

Combine like terms: -24s + 30s = 6s
(-24 + 6s + 30s2) = 0

Solving
-24 + 6s + 30s2 = 0

Solving for variable 's'.

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

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

Ignore the factor 6.
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 '(4 + -5s)' equal to zero and attempt to solve:

Simplifying
4 + -5s = 0

Solving
4 + -5s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -5s = 0 + -4

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

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

Divide each side by '-5'.
s = 0.8

Simplifying
s = 0.8
Solution
s = {-1, 0.8}