c^2+11bc+10b^2=0

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Solution for c^2+11bc+10b^2=0 equation: 


Simplifying
c2 + 11bc + 10b2 = 0

Reorder the terms:
11bc + 10b2 + c2 = 0

Solving
11bc + 10b2 + c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(10b + c)(b + c) = 0


Subproblem 1
Set the factor '(10b + c)' equal to zero and attempt to solve:

Simplifying
10b + c = 0

Solving
10b + c = 0

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

Add '-1c' to each side of the equation.
10b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
10b + 0 = 0 + -1c
10b = 0 + -1c
Remove the zero:
10b = -1c

Divide each side by '10'.
b = -0.1c

Simplifying
b = -0.1c

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 = {-0.1c, -1c}

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