s^2+3s=-8

Solution for s^2+3s=-8 equation:

Simplifying
s2 + 3s = -8

Reorder the terms:
3s + s2 = -8

Solving
3s + s2 = -8

Solving for variable 's'.

Reorder the terms:
8 + 3s + s2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 3s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 3s + -8 + s2 = 0 + -8

Reorder the terms:
8 + -8 + 3s + s2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3s + s2 = 0 + -8
3s + s2 = 0 + -8

Combine like terms: 0 + -8 = -8
3s + s2 = -8

The s term is 3s.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3s + 2.25 + s2 = -8 + 2.25

Reorder the terms:
2.25 + 3s + s2 = -8 + 2.25

Combine like terms: -8 + 2.25 = -5.75
2.25 + 3s + s2 = -5.75

Factor a perfect square on the left side:
(s + 1.5)(s + 1.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.