s^2+2s+5=0

Solution for s^2+2s+5=0 equation:

Simplifying
s2 + 2s + 5 = 0

Reorder the terms:
5 + 2s + s2 = 0

Solving
5 + 2s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2s + -5 + s2 = 0 + -5

Reorder the terms:
5 + -5 + 2s + s2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2s + s2 = 0 + -5
2s + s2 = 0 + -5

Combine like terms: 0 + -5 = -5
2s + s2 = -5

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -5 + 1

Reorder the terms:
1 + 2s + s2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + 2s + s2 = -4

Factor a perfect square on the left side:
(s + 1)(s + 1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.