(x-10)/(x+1)-(x)/(x-1)

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Solution for (x-10)/(x+1)-(x)/(x-1) equation: 


D( x )

x+1 = 0

x-1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

(x-10)/(x+1)-(x/(x-1)) = 0

(x-10)/(x+1)+(-1*x)/(x-1) = 0

((x-10)*(x-1))/((x+1)*(x-1))+(-1*x*(x+1))/((x+1)*(x-1)) = 0

(x-10)*(x-1)-1*x*(x+1) = 0

10-12*x = 0

(10-12*x)/((x+1)*(x-1)) = 0

(10-12*x)/((x+1)*(x-1)) = 0 // * (x+1)*(x-1)

10-12*x = 0

10-12*x = 0 // - 10

-12*x = -10 // : -12

x = -10/(-12)

x = 5/6

x = 5/6

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