c^2+5c+5=0

Solution for c^2+5c+5=0 equation:

Simplifying
c2 + 5c + 5 = 0

Reorder the terms:
5 + 5c + c2 = 0

Solving
5 + 5c + c2 = 0

Solving for variable 'c'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 5c + -5 + c2 = 0 + -5

Reorder the terms:
5 + -5 + 5c + c2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5c + c2 = 0 + -5
5c + c2 = 0 + -5

Combine like terms: 0 + -5 = -5
5c + c2 = -5

The c term is 5c.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5c + 6.25 + c2 = -5 + 6.25

Reorder the terms:
6.25 + 5c + c2 = -5 + 6.25

Combine like terms: -5 + 6.25 = 1.25
6.25 + 5c + c2 = 1.25

Factor a perfect square on the left side:
(c + 2.5)(c + 2.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(c + 2.5) equal to 1.118033989 and -1.118033989.

Subproblem 1
c + 2.5 = 1.118033989

Simplifying
c + 2.5 = 1.118033989

Reorder the terms:
2.5 + c = 1.118033989

Solving
2.5 + c = 1.118033989

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + c = 1.118033989 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + c = 1.118033989 + -2.5
c = 1.118033989 + -2.5

Combine like terms: 1.118033989 + -2.5 = -1.381966011
c = -1.381966011

Simplifying
c = -1.381966011

Subproblem 2
c + 2.5 = -1.118033989

Simplifying
c + 2.5 = -1.118033989

Reorder the terms:
2.5 + c = -1.118033989

Solving
2.5 + c = -1.118033989

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + c = -1.118033989 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + c = -1.118033989 + -2.5
c = -1.118033989 + -2.5

Combine like terms: -1.118033989 + -2.5 = -3.618033989
c = -3.618033989

Simplifying
c = -3.618033989

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {-1.381966011, -3.618033989}