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

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

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

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

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

Multiply (4 + 2s) * (2 + 4s)
3(4(2 + 4s) + 2s * (2 + 4s)) = 0
3((2 * 4 + 4s * 4) + 2s * (2 + 4s)) = 0
3((8 + 16s) + 2s * (2 + 4s)) = 0
3(8 + 16s + (2 * 2s + 4s * 2s)) = 0
3(8 + 16s + (4s + 8s2)) = 0

Combine like terms: 16s + 4s = 20s
3(8 + 20s + 8s2) = 0
(8 * 3 + 20s * 3 + 8s2 * 3) = 0
(24 + 60s + 24s2) = 0

Solving
24 + 60s + 24s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '12'.
12(2 + 5s + 2s2) = 0

Factor a trinomial.
12((2 + s)(1 + 2s)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 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 + s = 0 + -2

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

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

Simplifying
s = -2
Subproblem 2
Set the factor '(1 + 2s)' equal to zero and attempt to solve:

Simplifying
1 + 2s = 0

Solving
1 + 2s = 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 + 2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2s = 0 + -1
2s = 0 + -1

Combine like terms: 0 + -1 = -1
2s = -1

Divide each side by '2'.
s = -0.5

Simplifying
s = -0.5
Solution
s = {-2, -0.5}