s^2=36-5s

Solution for s^2=36-5s equation:

Simplifying
s2 = 36 + -5s

Solving
s2 = 36 + -5s

Solving for variable 's'.

Reorder the terms:
-36 + 5s + s2 = 36 + -5s + -36 + 5s

Reorder the terms:
-36 + 5s + s2 = 36 + -36 + -5s + 5s

Combine like terms: 36 + -36 = 0
-36 + 5s + s2 = 0 + -5s + 5s
-36 + 5s + s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
-36 + 5s + s2 = 0

Factor a trinomial.
(-9 + -1s)(4 + -1s) = 0

Subproblem 1
Set the factor '(-9 + -1s)' equal to zero and attempt to solve:

Simplifying
-9 + -1s = 0

Solving
-9 + -1s = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1s = 0 + 9
-1s = 0 + 9

Combine like terms: 0 + 9 = 9
-1s = 9

Divide each side by '-1'.
s = -9

Simplifying
s = -9
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 = {-9, 4}