((x-3)/(x-2))-(1/x)=((x-3)/(x))

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Solution for ((x-3)/(x-2))-(1/x)=((x-3)/(x)) equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

(x-3)/(x-2)-(1/x) = (x-3)/x // - (x-3)/x

(x-3)/(x-2)-((x-3)/x)-(1/x) = 0

(x-3)/(x-2)-((x-3)/x)-x^-1 = 0

(x-3)/(x-2)+(-1*(x-3))/x-1/x = 0

(x*(x-3))/(x*(x-2))+(-1*(x-3)*(x-2))/(x*(x-2))+(-1*(x-2))/(x*(x-2)) = 0

x*(x-3)-1*(x-3)*(x-2)-1*(x-2) = 0

2*x-x-6+2 = 0

x-4 = 0

(x-4)/(x*(x-2)) = 0

(x-4)/(x*(x-2)) = 0 // * x*(x-2)

x-4 = 0

x-4 = 0 // + 4

x = 4

x = 4

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