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

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


Simplifying
2b2 + -3bc + c2 = 0

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

Solving
-3bc + 2b2 + c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(b + -1c)(2b + -1c) = 0


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

Simplifying
b + -1c = 0

Solving
b + -1c = 0

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

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

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

Simplifying
b = c

Subproblem 2
Set the factor '(2b + -1c)' equal to zero and attempt to solve:

Simplifying
2b + -1c = 0

Solving
2b + -1c = 0

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

Add 'c' to each side of the equation.
2b + -1c + c = 0 + c

Combine like terms: -1c + c = 0
2b + 0 = 0 + c
2b = 0 + c
Remove the zero:
2b = c

Divide each side by '2'.
b = 0.5c

Simplifying
b = 0.5c
Solution
b = {c, 0.5c}

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