Posted by Katie on .
How do you solve the rational equation:
(n/n2)+(n/n+2)=(n/n^24)
I know that the LCD of the equation is (n+2)(n2) because that is what you get when you factor out the n^24 in the last part of the question. I thought I did it right until I reached the end where I don't know how to solve it.

ALGEBRA 
Reiny,
So why not multiply each of the three terms by that LCD that you found to get
n(n+2) + n(n2) = n
expand and solve as a quadratic.
I factors very nicely and has 2 simple answers. 
ALGEBRA 
Katie,
That's just it. I don't know how to factor it out because i keep getting 2n^2n=0

ALGEBRA 
Reiny,
2n^2  n = 0 is correct.
Now take out a common factor
n(2n1) = 0
n=0 or n = 1/2