(3s+7)(s+6)=0

Solution for (3s+7)(s+6)=0 equation:

Simplifying
(3s + 7)(s + 6) = 0

Reorder the terms:
(7 + 3s)(s + 6) = 0

Reorder the terms:
(7 + 3s)(6 + s) = 0

Multiply (7 + 3s) * (6 + s)
(7(6 + s) + 3s * (6 + s)) = 0
((6 * 7 + s * 7) + 3s * (6 + s)) = 0
((42 + 7s) + 3s * (6 + s)) = 0
(42 + 7s + (6 * 3s + s * 3s)) = 0
(42 + 7s + (18s + 3s2)) = 0

Combine like terms: 7s + 18s = 25s
(42 + 25s + 3s2) = 0

Solving
42 + 25s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(7 + 3s) = 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 '(7 + 3s)' equal to zero and attempt to solve:

Simplifying
7 + 3s = 0

Solving
7 + 3s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3s = 0 + -7
3s = 0 + -7

Combine like terms: 0 + -7 = -7
3s = -7

Divide each side by '3'.
s = -2.333333333

Simplifying
s = -2.333333333
Solution
s = {-6, -2.333333333}