c^2-3cy-28y^2=0

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Solution for c^2-3cy-28y^2=0 equation: 


Simplifying
c2 + -3cy + -28y2 = 0

Reorder the terms:
-3cy + c2 + -28y2 = 0

Solving
-3cy + c2 + -28y2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -7y)(c + 4y) = 0


Subproblem 1
Set the factor '(c + -7y)' equal to zero and attempt to solve:

Simplifying
c + -7y = 0

Solving
c + -7y = 0

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

Add '7y' to each side of the equation.
c + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
c + 0 = 0 + 7y
c = 0 + 7y
Remove the zero:
c = 7y

Simplifying
c = 7y

Subproblem 2
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
Solution
c = {7y, -4y}

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