s^2+7s=-16

Solution for s^2+7s=-16 equation:

Simplifying
s2 + 7s = -16

Reorder the terms:
7s + s2 = -16

Solving
7s + s2 = -16

Solving for variable 's'.

Reorder the terms:
16 + 7s + s2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 7s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 7s + -16 + s2 = 0 + -16

Reorder the terms:
16 + -16 + 7s + s2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 7s + s2 = 0 + -16
7s + s2 = 0 + -16

Combine like terms: 0 + -16 = -16
7s + s2 = -16

The s term is 7s.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7s + 12.25 + s2 = -16 + 12.25

Reorder the terms:
12.25 + 7s + s2 = -16 + 12.25

Combine like terms: -16 + 12.25 = -3.75
12.25 + 7s + s2 = -3.75

Factor a perfect square on the left side:
(s + 3.5)(s + 3.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.