SOLUTION: Solve the following equation for a:(c-b)/b = (2ab/(a+b)) -4

Algebra ->  Rational-functions -> SOLUTION: Solve the following equation for a:(c-b)/b = (2ab/(a+b)) -4      Log On


   

Question 1059266: Solve the following equation for a:(c-b)/b = (2ab/(a+b)) -4
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(c-b)/b = (2ab/(a+b)) -4
---
c-b = (2ab^2/(a+b)) -4b
c + 3b = 2ab^2/(a+b)
(c + 3b)*(a+b) = 2ab^2
a*(c+3b) + b*(c+3b) = 2ab^2
a*(c+3b) + bc + 3b^2 = 2ab^2
a*(c+3b) - a*2b^2 + bc + 3b^2 = 0
a*(c+3b - 2b^2) + bc + 3b^2 = 0
a*(c+3b - 2b^2) = -bc - 3b^2
a = (bc + 3b^2)/(2b^2 - 3b - c)