18c^2-27cb+10b^2=0

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Solution for 18c^2-27cb+10b^2=0 equation: 


Simplifying
18c2 + -27cb + 10b2 = 0

Reorder the terms:
-27bc + 10b2 + 18c2 = 0

Solving
-27bc + 10b2 + 18c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + -3c)(5b + -6c) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5b + -6c)' equal to zero and attempt to solve:

Simplifying
5b + -6c = 0

Solving
5b + -6c = 0

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

Add '6c' to each side of the equation.
5b + -6c + 6c = 0 + 6c

Combine like terms: -6c + 6c = 0
5b + 0 = 0 + 6c
5b = 0 + 6c
Remove the zero:
5b = 6c

Divide each side by '5'.
b = 1.2c

Simplifying
b = 1.2c
Solution
b = {1.5c, 1.2c}

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