s^2-5s-36=0

Solution for s^2-5s-36=0 equation:

Simplifying
s2 + -5s + -36 = 0

Reorder the terms:
-36 + -5s + s2 = 0

Solving
-36 + -5s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -1s)(9 + -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 '(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
Solution
s = {-4, 9}