(3x+4)/(x-1)=5/6

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Solution for (3x+4)/(x-1)=5/6 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)

(3*x+4)/(x-1) = 5/6 // - 5/6

(3*x+4)/(x-1)-(5/6) = 0

(3*x+4)/(x-1)-5/6 = 0

(6*(3*x+4))/(6*(x-1))+(-5*(x-1))/(6*(x-1)) = 0

6*(3*x+4)-5*(x-1) = 0

13*x+29 = 0

(13*x+29)/(6*(x-1)) = 0

(13*x+29)/(6*(x-1)) = 0 // * 6*(x-1)

13*x+29 = 0

13*x+29 = 0 // - 29

13*x = -29 // : 13

x = -29/13

x = -29/13

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