5/(x-1)=9/(3-2x)

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Solution for 5/(x-1)=9/(3-2x) equation: 


D( x )

3-(2*x) = 0

x-1 = 0

3-(2*x) = 0

3-(2*x) = 0

3-2*x = 0

3-2*x = 0 // - 3

-2*x = -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)

5/(x-1) = 9/(3-(2*x)) // - 9/(3-(2*x))

5/(x-1)-(9/(3-(2*x))) = 0

5/(x-1)-9*(3-2*x)^-1 = 0

5/(x-1)-9/(3-2*x) = 0

(5*(3-2*x))/((x-1)*(3-2*x))+(-9*(x-1))/((x-1)*(3-2*x)) = 0

5*(3-2*x)-9*(x-1) = 0

24-19*x = 0

(24-19*x)/((x-1)*(3-2*x)) = 0

(24-19*x)/((x-1)*(3-2*x)) = 0 // * (x-1)*(3-2*x)

24-19*x = 0

24-19*x = 0 // - 24

-19*x = -24 // : -19

x = -24/(-19)

x = 24/19

x = 24/19

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