16=s(s-6)

Solution for 16=s(s-6) equation:

Simplifying
16 = s(s + -6)

Reorder the terms:
16 = s(-6 + s)
16 = (-6 * s + s * s)
16 = (-6s + s2)

Solving
16 = -6s + s2

Solving for variable 's'.

Reorder the terms:
16 + 6s + -1s2 = -6s + 6s + s2 + -1s2

Combine like terms: -6s + 6s = 0
16 + 6s + -1s2 = 0 + s2 + -1s2
16 + 6s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
16 + 6s + -1s2 = 0

Factor a trinomial.
(8 + -1s)(2 + s) = 0

Subproblem 1
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 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 + s = 0 + -2

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

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

Simplifying
s = -2
Solution
s = {8, -2}