s^2+7s=-20

Solution for s^2+7s=-20 equation:

Simplifying
s2 + 7s = -20

Reorder the terms:
7s + s2 = -20

Solving
7s + s2 = -20

Solving for variable 's'.

Reorder the terms:
20 + 7s + s2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 7s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 7s + -20 + s2 = 0 + -20

Reorder the terms:
20 + -20 + 7s + s2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7s + s2 = 0 + -20
7s + s2 = 0 + -20

Combine like terms: 0 + -20 = -20
7s + s2 = -20

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 = -20 + 12.25

Reorder the terms:
12.25 + 7s + s2 = -20 + 12.25

Combine like terms: -20 + 12.25 = -7.75
12.25 + 7s + s2 = -7.75

Factor a perfect square on the left side:
(s + 3.5)(s + 3.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.