2b^2+5bc+3c^2=0

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Solution for 2b^2+5bc+3c^2=0 equation: 


Simplifying
2b2 + 5bc + 3c2 = 0

Reorder the terms:
5bc + 2b2 + 3c2 = 0

Solving
5bc + 2b2 + 3c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(b + c)(2b + 3c) = 0


Subproblem 1
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

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

Simplifying
2b + 3c = 0

Solving
2b + 3c = 0

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

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

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

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

Simplifying
b = -1.5c
Solution
b = {-1c, -1.5c}

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