c^2-cy-12y^2=0

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Solution for c^2-cy-12y^2=0 equation: 


Simplifying
c2 + -1cy + -12y2 = 0

Reorder the terms:
-1cy + c2 + -12y2 = 0

Solving
-1cy + c2 + -12y2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -4y)(c + 3y) = 0


Subproblem 1
Set the factor '(c + -4y)' equal to zero and attempt to solve:

Simplifying
c + -4y = 0

Solving
c + -4y = 0

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

Add '4y' to each side of the equation.
c + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
c + 0 = 0 + 4y
c = 0 + 4y
Remove the zero:
c = 4y

Simplifying
c = 4y

Subproblem 2
Set the factor '(c + 3y)' equal to zero and attempt to solve:

Simplifying
c + 3y = 0

Solving
c + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
c + 0 = 0 + -3y
c = 0 + -3y
Remove the zero:
c = -3y

Simplifying
c = -3y
Solution
c = {4y, -3y}

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