c^2=-18-9c

Solution for c^2=-18-9c equation:

Simplifying
c2 = -18 + -9c

Solving
c2 = -18 + -9c

Solving for variable 'c'.

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

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

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

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

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

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}