((x+1)/x)-(x/(x+1))

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Solution for ((x+1)/x)-(x/(x+1)) equation: 


D( x )

x = 0

x+1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:0) U (0:+oo)

(x+1)/x-(x/(x+1)) = 0

(x+1)/x+(-1*x)/(x+1) = 0

((x+1)^2)/(x*(x+1))+(-1*x^2)/(x*(x+1)) = 0

(x+1)^2-1*x^2 = 0

2*x+1 = 0

(2*x+1)/(x*(x+1)) = 0

(2*x+1)/(x*(x+1)) = 0 // * x*(x+1)

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x = -1/2

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