s^2+6s+14=0

Solution for s^2+6s+14=0 equation:

Simplifying
s2 + 6s + 14 = 0

Reorder the terms:
14 + 6s + s2 = 0

Solving
14 + 6s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 6s + -14 + s2 = 0 + -14

Reorder the terms:
14 + -14 + 6s + s2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 6s + s2 = 0 + -14
6s + s2 = 0 + -14

Combine like terms: 0 + -14 = -14
6s + s2 = -14

The s term is 6s.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6s + 9 + s2 = -14 + 9

Reorder the terms:
9 + 6s + s2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + 6s + s2 = -5

Factor a perfect square on the left side:
(s + 3)(s + 3) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.