27c^2+108c+108=0

Solution for 27c^2+108c+108=0 equation:

Simplifying
27c2 + 108c + 108 = 0

Reorder the terms:
108 + 108c + 27c2 = 0

Solving
108 + 108c + 27c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '27'.
27(4 + 4c + c2) = 0

Factor a trinomial.
27((2 + c)(2 + c)) = 0

Ignore the factor 27.
Subproblem 1
Set the factor '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

Add '-2' to each side of the equation.
2 + -2 + c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

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

Simplifying
2 + c = 0

Solving
2 + c = 0

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

Add '-2' to each side of the equation.
2 + -2 + c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

Simplifying
c = -2
Solution
c = {-2, -2}