20=s(s-8)

Solution for 20=s(s-8) equation:

Simplifying
20 = s(s + -8)

Reorder the terms:
20 = s(-8 + s)
20 = (-8 * s + s * s)
20 = (-8s + s2)

Solving
20 = -8s + s2

Solving for variable 's'.

Reorder the terms:
20 + 8s + -1s2 = -8s + 8s + s2 + -1s2

Combine like terms: -8s + 8s = 0
20 + 8s + -1s2 = 0 + s2 + -1s2
20 + 8s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
20 + 8s + -1s2 = 0

Factor a trinomial.
(10 + -1s)(2 + s) = 0

Subproblem 1
Set the factor '(10 + -1s)' equal to zero and attempt to solve:

Simplifying
10 + -1s = 0

Solving
10 + -1s = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1s = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1s = 0 + -10
-1s = 0 + -10

Combine like terms: 0 + -10 = -10
-1s = -10

Divide each side by '-1'.
s = 10

Simplifying
s = 10
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 = {10, -2}