s^2+2*s+10=0

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

Simplifying
s2 + 2s + 10 = 0

Reorder the terms:
10 + 2s + s2 = 0

Solving
10 + 2s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 2s + -10 + s2 = 0 + -10

Reorder the terms:
10 + -10 + 2s + s2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2s + s2 = 0 + -10
2s + s2 = 0 + -10

Combine like terms: 0 + -10 = -10
2s + s2 = -10

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -10 + 1

Reorder the terms:
1 + 2s + s2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + 2s + s2 = -9

Factor a perfect square on the left side:
(s + 1)(s + 1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.