(3s-2)(4s+4)=

Solution for (3s-2)(4s+4)= equation:

Simplifying
(3s + -2)(4s + 4) = 0

Reorder the terms:
(-2 + 3s)(4s + 4) = 0

Reorder the terms:
(-2 + 3s)(4 + 4s) = 0

Multiply (-2 + 3s) * (4 + 4s)
(-2(4 + 4s) + 3s * (4 + 4s)) = 0
((4 * -2 + 4s * -2) + 3s * (4 + 4s)) = 0
((-8 + -8s) + 3s * (4 + 4s)) = 0
(-8 + -8s + (4 * 3s + 4s * 3s)) = 0
(-8 + -8s + (12s + 12s2)) = 0

Combine like terms: -8s + 12s = 4s
(-8 + 4s + 12s2) = 0

Solving
-8 + 4s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + s + 3s2) = 0

Factor a trinomial.
4((-1 + -1s)(2 + -3s)) = 0

Ignore the factor 4.
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 '(2 + -3s)' equal to zero and attempt to solve:

Simplifying
2 + -3s = 0

Solving
2 + -3s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3s = 0 + -2
-3s = 0 + -2

Combine like terms: 0 + -2 = -2
-3s = -2

Divide each side by '-3'.
s = 0.6666666667

Simplifying
s = 0.6666666667
Solution
s = {-1, 0.6666666667}