c^2+4bc+3b^2=

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Solution for c^2+4bc+3b^2= equation: 


Simplifying
c2 + 4bc + 3b2 = 0

Reorder the terms:
4bc + 3b2 + c2 = 0

Solving
4bc + 3b2 + c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3b + c)(b + c) = 0


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

Simplifying
3b + c = 0

Solving
3b + c = 0

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

Add '-1c' to each side of the equation.
3b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
3b + 0 = 0 + -1c
3b = 0 + -1c
Remove the zero:
3b = -1c

Divide each side by '3'.
b = -0.3333333333c

Simplifying
b = -0.3333333333c

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

Simplifying
b + c = 0

Solving
b + c = 0

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

Add '-1c' to each side of the equation.
b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
b + 0 = 0 + -1c
b = 0 + -1c
Remove the zero:
b = -1c

Simplifying
b = -1c
Solution
b = {-0.3333333333c, -1c}

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