c^2+32c+220=0

Solution for c^2+32c+220=0 equation:

Simplifying
c2 + 32c + 220 = 0

Reorder the terms:
220 + 32c + c2 = 0

Solving
220 + 32c + c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(22 + c)' equal to zero and attempt to solve:

Simplifying
22 + c = 0

Solving
22 + c = 0

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

Add '-22' to each side of the equation.
22 + -22 + c = 0 + -22

Combine like terms: 22 + -22 = 0
0 + c = 0 + -22
c = 0 + -22

Combine like terms: 0 + -22 = -22
c = -22

Simplifying
c = -22
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 = {-22, -10}