s^2+5s=-16

Solution for s^2+5s=-16 equation:

Simplifying
s2 + 5s = -16

Reorder the terms:
5s + s2 = -16

Solving
5s + s2 = -16

Solving for variable 's'.

Reorder the terms:
16 + 5s + s2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 5s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 5s + -16 + s2 = 0 + -16

Reorder the terms:
16 + -16 + 5s + s2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5s + s2 = 0 + -16
5s + s2 = 0 + -16

Combine like terms: 0 + -16 = -16
5s + s2 = -16

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 = -16 + 6.25

Reorder the terms:
6.25 + 5s + s2 = -16 + 6.25

Combine like terms: -16 + 6.25 = -9.75
6.25 + 5s + s2 = -9.75

Factor a perfect square on the left side:
(s + 2.5)(s + 2.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.