=s^2+8s+20

Solution for =s^2+8s+20 equation:

Simplifying
0 = s2 + 8s + 20

Reorder the terms:
0 = 20 + 8s + s2

Solving
0 = 20 + 8s + s2

Solving for variable 's'.

Combine like terms: 0 + -20 = -20
-20 + -8s + -1s2 = 20 + 8s + s2 + -20 + -8s + -1s2

Reorder the terms:
-20 + -8s + -1s2 = 20 + -20 + 8s + -8s + s2 + -1s2

Combine like terms: 20 + -20 = 0
-20 + -8s + -1s2 = 0 + 8s + -8s + s2 + -1s2
-20 + -8s + -1s2 = 8s + -8s + s2 + -1s2

Combine like terms: 8s + -8s = 0
-20 + -8s + -1s2 = 0 + s2 + -1s2
-20 + -8s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-20 + -8s + -1s2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 8s + s2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(20 + 8s + s2)' equal to zero and attempt to solve:

Simplifying
20 + 8s + s2 = 0

Solving
20 + 8s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8s + -20 + s2 = 0 + -20

Reorder the terms:
20 + -20 + 8s + s2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8s + s2 = 0 + -20
8s + s2 = 0 + -20

Combine like terms: 0 + -20 = -20
8s + s2 = -20

The s term is 8s.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8s + 16 + s2 = -20 + 16

Reorder the terms:
16 + 8s + s2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + 8s + s2 = -4

Factor a perfect square on the left side:
(s + 4)(s + 4) = -4

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.