
I am almost certain you mean
x/(x2) + (x1)/(x+1) = 1
the LCD is (x2)(x+1) , so multiply each term by that to get
x(x+1) + (x1)(x2) = 1(x2)(x+1)
expand, rearrange to get a quadratic.
Then solve using your favourite method.

wait what do you mean your favorite method?


Methods to solve quadratics:
1. by factoring, will not always work
2. by completing the square, best way if coefficient of the square term is 1 and the middle term is even
3. using the quadratic formula, sureproof way