6(3+2s)4(s+8)=

Solution for 6(3+2s)4(s+8)= equation:

Simplifying
6(3 + 2s) * 4(s + 8) = 0

Reorder the terms:
6(3 + 2s) * 4(8 + s) = 0

Reorder the terms for easier multiplication:
6 * 4(3 + 2s)(8 + s) = 0

Multiply 6 * 4
24(3 + 2s)(8 + s) = 0

Multiply (3 + 2s) * (8 + s)
24(3(8 + s) + 2s * (8 + s)) = 0
24((8 * 3 + s * 3) + 2s * (8 + s)) = 0
24((24 + 3s) + 2s * (8 + s)) = 0
24(24 + 3s + (8 * 2s + s * 2s)) = 0
24(24 + 3s + (16s + 2s2)) = 0

Combine like terms: 3s + 16s = 19s
24(24 + 19s + 2s2) = 0
(24 * 24 + 19s * 24 + 2s2 * 24) = 0
(576 + 456s + 48s2) = 0

Solving
576 + 456s + 48s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '24'.
24(24 + 19s + 2s2) = 0

Factor a trinomial.
24((8 + s)(3 + 2s)) = 0

Ignore the factor 24.
Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve:

Simplifying
8 + s = 0

Solving
8 + s = 0

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

Add '-8' to each side of the equation.
8 + -8 + s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + s = 0 + -8
s = 0 + -8

Combine like terms: 0 + -8 = -8
s = -8

Simplifying
s = -8
Subproblem 2
Set the factor '(3 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 0

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

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

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

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

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Solution
s = {-8, -1.5}