=s^2+2s+10

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

Simplifying
0 = s2 + 2s + 10

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

Solving
0 = 10 + 2s + s2

Solving for variable 's'.

Combine like terms: 0 + -10 = -10
-10 + -2s + -1s2 = 10 + 2s + s2 + -10 + -2s + -1s2

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

Combine like terms: 10 + -10 = 0
-10 + -2s + -1s2 = 0 + 2s + -2s + s2 + -1s2
-10 + -2s + -1s2 = 2s + -2s + s2 + -1s2

Combine like terms: 2s + -2s = 0
-10 + -2s + -1s2 = 0 + s2 + -1s2
-10 + -2s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-10 + -2s + -1s2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 2s + s2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(10 + 2s + s2)' equal to zero and attempt to solve:

Simplifying
10 + 2s + s2 = 0

Solving
10 + 2s + s2 = 0

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.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.