s^2+3s=-19

Solution for s^2+3s=-19 equation:

Simplifying
s2 + 3s = -19

Reorder the terms:
3s + s2 = -19

Solving
3s + s2 = -19

Solving for variable 's'.

Reorder the terms:
19 + 3s + s2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + 3s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + 3s + -19 + s2 = 0 + -19

Reorder the terms:
19 + -19 + 3s + s2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 3s + s2 = 0 + -19
3s + s2 = 0 + -19

Combine like terms: 0 + -19 = -19
3s + s2 = -19

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 = -19 + 2.25

Reorder the terms:
2.25 + 3s + s2 = -19 + 2.25

Combine like terms: -19 + 2.25 = -16.75
2.25 + 3s + s2 = -16.75

Factor a perfect square on the left side:
(s + 1.5)(s + 1.5) = -16.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.