8b^2-18bc-5c^2=0

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Solution for 8b^2-18bc-5c^2=0 equation: 


Simplifying
8b2 + -18bc + -5c2 = 0

Reorder the terms:
-18bc + 8b2 + -5c2 = 0

Solving
-18bc + 8b2 + -5c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + -5c)(4b + c) = 0


Subproblem 1
Set the factor '(2b + -5c)' equal to zero and attempt to solve:

Simplifying
2b + -5c = 0

Solving
2b + -5c = 0

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

Add '5c' to each side of the equation.
2b + -5c + 5c = 0 + 5c

Combine like terms: -5c + 5c = 0
2b + 0 = 0 + 5c
2b = 0 + 5c
Remove the zero:
2b = 5c

Divide each side by '2'.
b = 2.5c

Simplifying
b = 2.5c

Subproblem 2
Set the factor '(4b + c)' equal to zero and attempt to solve:

Simplifying
4b + c = 0

Solving
4b + c = 0

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

Add '-1c' to each side of the equation.
4b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
4b + 0 = 0 + -1c
4b = 0 + -1c
Remove the zero:
4b = -1c

Divide each side by '4'.
b = -0.25c

Simplifying
b = -0.25c
Solution
b = {2.5c, -0.25c}

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