c^2+17cy+70y^2=0

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Solution for c^2+17cy+70y^2=0 equation: 


Simplifying
c2 + 17cy + 70y2 = 0

Reorder the terms:
17cy + c2 + 70y2 = 0

Solving
17cy + c2 + 70y2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + 7y)(c + 10y) = 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 + 10y)' equal to zero and attempt to solve:

Simplifying
c + 10y = 0

Solving
c + 10y = 0

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

Add '-10y' to each side of the equation.
c + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
c + 0 = 0 + -10y
c = 0 + -10y
Remove the zero:
c = -10y

Simplifying
c = -10y
Solution
c = {-7y, -10y}

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