(4x/(x-1))-(2/(x-1))=13/2

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Solution for (4x/(x-1))-(2/(x-1))=13/2 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

(4*x)/(x-1)-(2/(x-1)) = 13/2 // - 13/2

(4*x)/(x-1)-(2/(x-1))-(13/2) = 0

(4*x)/(x-1)-2*(x-1)^-1-13/2 = 0

(4*x)/(x-1)-2/(x-1)-13/2 = 0

(2*4*x)/(2*(x-1))+(-2*2)/(2*(x-1))+(-13*(x-1))/(2*(x-1)) = 0

2*4*x-13*(x-1)-2*2 = 0

8*x-13*x-4+13 = 0

9-5*x = 0

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

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

9-5*x = 0

9-5*x = 0 // - 9

-5*x = -9 // : -5

x = -9/(-5)

x = 9/5

x = 9/5

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