27g^2+39gc+14c^2=

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Solution for 27g^2+39gc+14c^2= equation: 


Simplifying
27g2 + 39gc + 14c2 = 0

Reorder the terms:
39cg + 14c2 + 27g2 = 0

Solving
39cg + 14c2 + 27g2 = 0

Solving for variable 'c'.

Factor a trinomial.
(7c + 9g)(2c + 3g) = 0


Subproblem 1
Set the factor '(7c + 9g)' equal to zero and attempt to solve:

Simplifying
7c + 9g = 0

Solving
7c + 9g = 0

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

Add '-9g' to each side of the equation.
7c + 9g + -9g = 0 + -9g

Combine like terms: 9g + -9g = 0
7c + 0 = 0 + -9g
7c = 0 + -9g
Remove the zero:
7c = -9g

Divide each side by '7'.
c = -1.285714286g

Simplifying
c = -1.285714286g

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

Simplifying
2c + 3g = 0

Solving
2c + 3g = 0

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

Add '-3g' to each side of the equation.
2c + 3g + -3g = 0 + -3g

Combine like terms: 3g + -3g = 0
2c + 0 = 0 + -3g
2c = 0 + -3g
Remove the zero:
2c = -3g

Divide each side by '2'.
c = -1.5g

Simplifying
c = -1.5g
Solution
c = {-1.285714286g, -1.5g}

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