s^2=32-4s

Solution for s^2=32-4s equation:

Simplifying
s2 = 32 + -4s

Solving
s2 = 32 + -4s

Solving for variable 's'.

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

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

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

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

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

Simplifying
4 + -1s = 0

Solving
4 + -1s = 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 + -1s = 0 + -4

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

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

Divide each side by '-1'.
s = 4

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