0=c^2+20c+100

Solution for 0=c^2+20c+100 equation:

Simplifying
0 = c2 + 20c + 100

Reorder the terms:
0 = 100 + 20c + c2

Solving
0 = 100 + 20c + c2

Solving for variable 'c'.

Combine like terms: 0 + -100 = -100
-100 + -20c + -1c2 = 100 + 20c + c2 + -100 + -20c + -1c2

Reorder the terms:
-100 + -20c + -1c2 = 100 + -100 + 20c + -20c + c2 + -1c2

Combine like terms: 100 + -100 = 0
-100 + -20c + -1c2 = 0 + 20c + -20c + c2 + -1c2
-100 + -20c + -1c2 = 20c + -20c + c2 + -1c2

Combine like terms: 20c + -20c = 0
-100 + -20c + -1c2 = 0 + c2 + -1c2
-100 + -20c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-100 + -20c + -1c2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(100 + 20c + c2) = 0

Factor a trinomial.
-1((10 + c)(10 + c)) = 0

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

Simplifying
10 + c = 0

Solving
10 + c = 0

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

Add '-10' to each side of the equation.
10 + -10 + c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + c = 0 + -10
c = 0 + -10

Combine like terms: 0 + -10 = -10
c = -10

Simplifying
c = -10
Subproblem 2
Set the factor '(10 + c)' equal to zero and attempt to solve:

Simplifying
10 + c = 0

Solving
10 + c = 0

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

Add '-10' to each side of the equation.
10 + -10 + c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + c = 0 + -10
c = 0 + -10

Combine like terms: 0 + -10 = -10
c = -10

Simplifying
c = -10
Solution
c = {-10, -10}