c^2+6cg-27g^2=0

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Solution for c^2+6cg-27g^2=0 equation: 


Simplifying
c2 + 6cg + -27g2 = 0

Reorder the terms:
6cg + c2 + -27g2 = 0

Solving
6cg + c2 + -27g2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -3g)(c + 9g) = 0


Subproblem 1
Set the factor '(c + -3g)' equal to zero and attempt to solve:

Simplifying
c + -3g = 0

Solving
c + -3g = 0

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

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

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

Simplifying
c = 3g

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

Simplifying
c + 9g = 0

Solving
c + 9g = 0

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

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

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

Simplifying
c = -9g
Solution
c = {3g, -9g}

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