c^2+12c+20=

Solution for c^2+12c+20= equation:

Simplifying
c2 + 12c + 20 = 0

Reorder the terms:
20 + 12c + c2 = 0

Solving
20 + 12c + c2 = 0

Solving for variable 'c'.

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

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 '(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 = {-10, -2}