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

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


D( x )

x-3 = 0

x+1 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:3) U (3:+oo)

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

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

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

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

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

4*x-8 = 0

(4*x-8)/((x-3)*(x+1)) = 0

(4*x-8)/((x-3)*(x+1)) = 0 // * (x-3)*(x+1)

4*x-8 = 0

4*x-8 = 0 // + 8

4*x = 8 // : 4

x = 8/4

x = 2

x = 2

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