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

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

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

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

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

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

Combine like terms: 6s + 7s = 13s
(42 + 13s + s2) = 0

Solving
42 + 13s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(7 + s)(6 + s) = 0

Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve:

Simplifying
7 + s = 0

Solving
7 + s = 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 + s = 0 + -7

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

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

Simplifying
s = -7
Subproblem 2
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
Solution
s = {-7, -6}