s^2+4s+16=0

Solution for s^2+4s+16=0 equation:

Simplifying
s2 + 4s + 16 = 0

Reorder the terms:
16 + 4s + s2 = 0

Solving
16 + 4s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 4s + -16 + s2 = 0 + -16

Reorder the terms:
16 + -16 + 4s + s2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4s + s2 = 0 + -16
4s + s2 = 0 + -16

Combine like terms: 0 + -16 = -16
4s + s2 = -16

The s term is 4s.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4s + 4 + s2 = -16 + 4

Reorder the terms:
4 + 4s + s2 = -16 + 4

Combine like terms: -16 + 4 = -12
4 + 4s + s2 = -12

Factor a perfect square on the left side:
(s + 2)(s + 2) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.