c^2+8cg+15g^2=

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Solution for c^2+8cg+15g^2= equation: 


Simplifying
c2 + 8cg + 15g2 = 0

Reorder the terms:
8cg + c2 + 15g2 = 0

Solving
8cg + c2 + 15g2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + 3g)(c + 5g) = 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 + 5g)' equal to zero and attempt to solve:

Simplifying
c + 5g = 0

Solving
c + 5g = 0

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

Add '-5g' to each side of the equation.
c + 5g + -5g = 0 + -5g

Combine like terms: 5g + -5g = 0
c + 0 = 0 + -5g
c = 0 + -5g
Remove the zero:
c = -5g

Simplifying
c = -5g
Solution
c = {-3g, -5g}

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