c^2+7cd-18d^2=0

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Solution for c^2+7cd-18d^2=0 equation: 


Simplifying
c2 + 7cd + -18d2 = 0

Reorder the terms:
7cd + c2 + -18d2 = 0

Solving
7cd + c2 + -18d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -2d)(c + 9d) = 0


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

Simplifying
c + -2d = 0

Solving
c + -2d = 0

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

Add '2d' to each side of the equation.
c + -2d + 2d = 0 + 2d

Combine like terms: -2d + 2d = 0
c + 0 = 0 + 2d
c = 0 + 2d
Remove the zero:
c = 2d

Simplifying
c = 2d

Subproblem 2
Set the factor '(c + 9d)' equal to zero and attempt to solve:

Simplifying
c + 9d = 0

Solving
c + 9d = 0

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

Add '-9d' to each side of the equation.
c + 9d + -9d = 0 + -9d

Combine like terms: 9d + -9d = 0
c + 0 = 0 + -9d
c = 0 + -9d
Remove the zero:
c = -9d

Simplifying
c = -9d
Solution
c = {2d, -9d}

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