c^2d^2+9cd+18=

Solution for c^2d^2+9cd+18= equation:

Simplifying
c2d2 + 9cd + 18 = 0

Reorder the terms:
18 + 9cd + c2d2 = 0

Solving
18 + 9cd + c2d2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(6 + cd)' equal to zero and attempt to solve:

Simplifying
6 + cd = 0

Solving
6 + cd = 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 + cd = 0 + -6

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

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

Divide each side by 'd'.
c = -6d-1

Simplifying
c = -6d-1
Subproblem 2
Set the factor '(3 + cd)' equal to zero and attempt to solve:

Simplifying
3 + cd = 0

Solving
3 + cd = 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 + cd = 0 + -3

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

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

Divide each side by 'd'.
c = -3d-1

Simplifying
c = -3d-1
Solution
c = {-6d-1, -3d-1}