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

Solution for (4s-4)(s+6)=0 equation:

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

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

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

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

Combine like terms: -4s + 24s = 20s
(-24 + 20s + 4s2) = 0

Solving
-24 + 20s + 4s2 = 0

Solving for variable 's'.

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

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 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 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
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 = {-6, 1}