s^2+5s=-20

Solution for s^2+5s=-20 equation:

Simplifying
s2 + 5s = -20

Reorder the terms:
5s + s2 = -20

Solving
5s + s2 = -20

Solving for variable 's'.

Reorder the terms:
20 + 5s + s2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 5s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 5s + -20 + s2 = 0 + -20

Reorder the terms:
20 + -20 + 5s + s2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 5s + s2 = 0 + -20
5s + s2 = 0 + -20

Combine like terms: 0 + -20 = -20
5s + s2 = -20

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 = -20 + 6.25

Reorder the terms:
6.25 + 5s + s2 = -20 + 6.25

Combine like terms: -20 + 6.25 = -13.75
6.25 + 5s + s2 = -13.75

Factor a perfect square on the left side:
(s + 2.5)(s + 2.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.