96=(10+s)(6+s)

Solution for 96=(10+s)(6+s) equation:

Simplifying
96 = (10 + s)(6 + s)

Multiply (10 + s) * (6 + s)
96 = (10(6 + s) + s(6 + s))
96 = ((6 * 10 + s * 10) + s(6 + s))
96 = ((60 + 10s) + s(6 + s))
96 = (60 + 10s + (6 * s + s * s))
96 = (60 + 10s + (6s + s2))

Combine like terms: 10s + 6s = 16s
96 = (60 + 16s + s2)

Solving
96 = 60 + 16s + s2

Solving for variable 's'.

Combine like terms: 96 + -60 = 36
36 + -16s + -1s2 = 60 + 16s + s2 + -60 + -16s + -1s2

Reorder the terms:
36 + -16s + -1s2 = 60 + -60 + 16s + -16s + s2 + -1s2

Combine like terms: 60 + -60 = 0
36 + -16s + -1s2 = 0 + 16s + -16s + s2 + -1s2
36 + -16s + -1s2 = 16s + -16s + s2 + -1s2

Combine like terms: 16s + -16s = 0
36 + -16s + -1s2 = 0 + s2 + -1s2
36 + -16s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
36 + -16s + -1s2 = 0

Factor a trinomial.
(2 + -1s)(18 + s) = 0

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Subproblem 2
Set the factor '(18 + s)' equal to zero and attempt to solve:

Simplifying
18 + s = 0

Solving
18 + s = 0

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

Add '-18' to each side of the equation.
18 + -18 + s = 0 + -18

Combine like terms: 18 + -18 = 0
0 + s = 0 + -18
s = 0 + -18

Combine like terms: 0 + -18 = -18
s = -18

Simplifying
s = -18
Solution
s = {2, -18}