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'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 5s + -36 + s2 = 0 + -36

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

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

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

The s term is 5s.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5s + 6.25 + s2 = -36 + 6.25

Reorder the terms:
6.25 + 5s + s2 = -36 + 6.25

Combine like terms: -36 + 6.25 = -29.75
6.25 + 5s + s2 = -29.75

Factor a perfect square on the left side:
(s + 2.5)(s + 2.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.