0=c^2+9c+18

Solution for 0=c^2+9c+18 equation:

Simplifying
0 = c2 + 9c + 18

Reorder the terms:
0 = 18 + 9c + c2

Solving
0 = 18 + 9c + c2

Solving for variable 'c'.

Combine like terms: 0 + -18 = -18
-18 + -9c + -1c2 = 18 + 9c + c2 + -18 + -9c + -1c2

Reorder the terms:
-18 + -9c + -1c2 = 18 + -18 + 9c + -9c + c2 + -1c2

Combine like terms: 18 + -18 = 0
-18 + -9c + -1c2 = 0 + 9c + -9c + c2 + -1c2
-18 + -9c + -1c2 = 9c + -9c + c2 + -1c2

Combine like terms: 9c + -9c = 0
-18 + -9c + -1c2 = 0 + c2 + -1c2
-18 + -9c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-18 + -9c + -1c2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 9c + c2) = 0

Factor a trinomial.
-1((6 + c)(3 + c)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + c)' equal to zero and attempt to solve:

Simplifying
6 + c = 0

Solving
6 + c = 0

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

Add '-6' to each side of the equation.
6 + -6 + c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + c = 0 + -6
c = 0 + -6

Combine like terms: 0 + -6 = -6
c = -6

Simplifying
c = -6
Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve:

Simplifying
3 + c = 0

Solving
3 + c = 0

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

Add '-3' to each side of the equation.
3 + -3 + c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + c = 0 + -3
c = 0 + -3

Combine like terms: 0 + -3 = -3
c = -3

Simplifying
c = -3
Solution
c = {-6, -3}