s^2+3s=-13

Solution for s^2+3s=-13 equation:

Simplifying
s2 + 3s = -13

Reorder the terms:
3s + s2 = -13

Solving
3s + s2 = -13

Solving for variable 's'.

Reorder the terms:
13 + 3s + s2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + 3s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 3s + -13 + s2 = 0 + -13

Reorder the terms:
13 + -13 + 3s + s2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3s + s2 = 0 + -13
3s + s2 = 0 + -13

Combine like terms: 0 + -13 = -13
3s + s2 = -13

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 = -13 + 2.25

Reorder the terms:
2.25 + 3s + s2 = -13 + 2.25

Combine like terms: -13 + 2.25 = -10.75
2.25 + 3s + s2 = -10.75

Factor a perfect square on the left side:
(s + 1.5)(s + 1.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.