3x/(x-1)=3/4

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Solution for 3x/(x-1)=3/4 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)/(x-1) = 3/4 // - 3/4

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

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

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

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

9*x+3 = 0

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

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

9*x+3 = 0

9*x+3 = 0 // - 3

9*x = -3 // : 9

x = -3/9

x = -1/3

x = -1/3

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