s^2+10s+26=0

Solution for s^2+10s+26=0 equation:

Simplifying
s2 + 10s + 26 = 0

Reorder the terms:
26 + 10s + s2 = 0

Solving
26 + 10s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + 10s + -26 + s2 = 0 + -26

Reorder the terms:
26 + -26 + 10s + s2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 10s + s2 = 0 + -26
10s + s2 = 0 + -26

Combine like terms: 0 + -26 = -26
10s + s2 = -26

The s term is 10s.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10s + 25 + s2 = -26 + 25

Reorder the terms:
25 + 10s + s2 = -26 + 25

Combine like terms: -26 + 25 = -1
25 + 10s + s2 = -1

Factor a perfect square on the left side:
(s + 5)(s + 5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.