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

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

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

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

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

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

Combine like terms: 7s + -6s = 1s
(-42 + 1s + s2) = 0

Solving
-42 + 1s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -1s)(6 + -1s) = 0

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

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 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 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7
Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 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 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

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