SOLUTION: Solve equation {{{(x-1)/(3)}}}+{{{(x)/(x+1)}}}={{{(x+4)/(6)}}}

Algebra ->  Equations -> SOLUTION: Solve equation {{{(x-1)/(3)}}}+{{{(x)/(x+1)}}}={{{(x+4)/(6)}}}      Log On


   

Question 1178615: Solve equation
%28x-1%29%2F%283%29+%28x%29%2F%28x%2B1%29=%28x%2B4%29%2F%286%29
Found 2 solutions by MathLover1, mananth:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-1%29%2F3%2Bx%2F%28x%2B1%29=%28x%2B4%29%2F6

%28%28x-1%29%28x%2B1%29%2B3x%29%2F3%28x%2B1%29=%28x%2B4%29%2F6

%28x%5E2-1%2B3x%29%2F3%28x%2B1%29=%28x%2B4%29%2F6

6%28x%5E2%2B3x-1%29=3%28x%2B1%29%28x%2B4%29

6x%5E2%2B18x-6=3x%5E2+%2B+15x+%2B+12

6x%5E2%2B18x-6-3x%5E2+-+15x-+12=0

3x%5E2%2B3x-18+=0...........divide by 3

x%5E2%2Bx-6+=0.......factor

%28x+-+2%29+%28x+%2B+3%29+=+0

solutions:

x=2

x=-3







Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%29%2F%283%29+%28x%29%2F%28x%2B1%29=%28x%2B4%29%2F%286%29
Muliply equation by 6(x+1)=0
2(x+1)(x-1) +6x =(x+1)(x+4)=0
2(x^2-1) +6x =(x^2+5x+4)=0
2x^2 -2 +6x =x^2 +5x+4=0
x^2 +x-6=0
(x+3)(x-2)=0
x=-3 , x=2