32=s(s-4)

Solution for 32=s(s-4) equation:

Simplifying
32 = s(s + -4)

Reorder the terms:
32 = s(-4 + s)
32 = (-4 * s + s * s)
32 = (-4s + s2)

Solving
32 = -4s + s2

Solving for variable 's'.

Reorder the terms:
32 + 4s + -1s2 = -4s + 4s + s2 + -1s2

Combine like terms: -4s + 4s = 0
32 + 4s + -1s2 = 0 + s2 + -1s2
32 + 4s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
32 + 4s + -1s2 = 0

Factor a trinomial.
(8 + -1s)(4 + 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 '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {8, -4}