(s+6)(4s+3)=0

Solution for (s+6)(4s+3)=0 equation:

Simplifying
(s + 6)(4s + 3) = 0

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

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

Multiply (6 + s) * (3 + 4s)
(6(3 + 4s) + s(3 + 4s)) = 0
((3 * 6 + 4s * 6) + s(3 + 4s)) = 0
((18 + 24s) + s(3 + 4s)) = 0
(18 + 24s + (3 * s + 4s * s)) = 0
(18 + 24s + (3s + 4s2)) = 0

Combine like terms: 24s + 3s = 27s
(18 + 27s + 4s2) = 0

Solving
18 + 27s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(3 + 4s) = 0

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

Simplifying
6 + s = 0

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

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

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

Simplifying
s = -6
Subproblem 2
Set the factor '(3 + 4s)' equal to zero and attempt to solve:

Simplifying
3 + 4s = 0

Solving
3 + 4s = 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 + 4s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4s = 0 + -3
4s = 0 + -3

Combine like terms: 0 + -3 = -3
4s = -3

Divide each side by '4'.
s = -0.75

Simplifying
s = -0.75
Solution
s = {-6, -0.75}