3c^2y=9cy

Solution for 3c^2y=9cy equation:

Simplifying
3c2y = 9cy

Solving
3c2y = 9cy

Solving for variable 'c'.

Reorder the terms:
-9cy + 3c2y = 9cy + -9cy

Combine like terms: 9cy + -9cy = 0
-9cy + 3c2y = 0

Factor out the Greatest Common Factor (GCF), '3cy'.
3cy(-3 + c) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'cy' equal to zero and attempt to solve:

Simplifying
cy = 0

Solving
cy = 0

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

Simplifying
cy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 = {3}