s^2=4s+32

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

Simplifying
s2 = 4s + 32

Reorder the terms:
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.
(-4 + -1s)(8 + -1s) = 0

Subproblem 1
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
Subproblem 2
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
Solution
s = {-4, 8}