SOLUTION: Again I find myself confused when it comes to math. I would appreciate any help that i may be able to get. the instructions are solve the equation: 1/(x+4)-1=1/x If you might

Algebra ->  Rational-functions -> SOLUTION: Again I find myself confused when it comes to math. I would appreciate any help that i may be able to get. the instructions are solve the equation: 1/(x+4)-1=1/x If you might      Log On


   

Question 333530: Again I find myself confused when it comes to math. I would appreciate any help that i may be able to get. the instructions are solve the equation:
1/(x+4)-1=1/x
If you might be able to show me the steps in completing this type of problem i would appreciate it as i have several to solve in this style.
thanks in advance
Becca
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F%28x%2B4%29%29-1=1%2Fx
%281%2F%28x%2B4%29%29-1%2Fx=1
LCM = x(x+4)
%28x-x-4%29%2Fx%28x%2B4%29=1
..
%28-4%2F%28x%28x%2B4%29%29%29=1
..
-4=x%28x%2B4%29
-4=x%5E2%2B4x
x%5E2%2B4x%2B4=0
%28x%2B2%29%5E2=0
x+2=0
x=-2