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

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Solution for 4/(x+1)=1/(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)

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

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

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

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

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

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

3*x-5 = 0

(3*x-5)/((x+1)*(x-1)) = 0

(3*x-5)/((x+1)*(x-1)) = 0 // * (x+1)*(x-1)

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x = 5/3

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