c^2+18c+80=0

Solution for c^2+18c+80=0 equation:

Simplifying
c2 + 18c + 80 = 0

Reorder the terms:
80 + 18c + c2 = 0

Solving
80 + 18c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(10 + c)(8 + 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 '(8 + c)' equal to zero and attempt to solve:

Simplifying
8 + c = 0

Solving
8 + c = 0

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

Add '-8' to each side of the equation.
8 + -8 + c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + c = 0 + -8
c = 0 + -8

Combine like terms: 0 + -8 = -8
c = -8

Simplifying
c = -8
Solution
c = {-10, -8}