algebra
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x+1/x1  2/x^2x=0

(x + 1) / (x  1)  2 / (x^2  x) = 0.
Common denominator = (X^2  x).
(x^2 + x  2) / (x^2  x),
Factor numerator and denominator:
(x  1) (x + 2) / x(x  1),
Cancel the (x  1) factors and get:
(x + 2) / x = 0,
Cross multiply:
x + 2 = 0,
x = 2.
Check:
(2 + 1) / (2 1)  2 / ((2)^2  (2)),
(1 / 3)  2 / 6,
1 / 3  1 / 3 = 0.