3/(x-1)=5/(2x-3)

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Solution for 3/(x-1)=5/(2x-3) equation:


D( x )

2*x-3 = 0

x-1 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:3/2) U (3/2:+oo)

3/(x-1) = 5/(2*x-3) // - 5/(2*x-3)

3/(x-1)-(5/(2*x-3)) = 0

3/(x-1)-5*(2*x-3)^-1 = 0

3/(x-1)-5/(2*x-3) = 0

(3*(2*x-3))/((x-1)*(2*x-3))+(-5*(x-1))/((x-1)*(2*x-3)) = 0

3*(2*x-3)-5*(x-1) = 0

x-4 = 0

(x-4)/((x-1)*(2*x-3)) = 0

(x-4)/((x-1)*(2*x-3)) = 0 // * (x-1)*(2*x-3)

x-4 = 0

x-4 = 0 // + 4

x = 4

x = 4

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