4/(5x-2)=6/(x-1)

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Solution for 4/(5x-2)=6/(x-1) equation: 


D( x )

5*x-2 = 0

x-1 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:2/5) U (2/5:1) U (1:+oo)

4/(5*x-2) = 6/(x-1) // - 6/(x-1)

4/(5*x-2)-(6/(x-1)) = 0

4/(5*x-2)-6*(x-1)^-1 = 0

4/(5*x-2)-6/(x-1) = 0

(4*(x-1))/((5*x-2)*(x-1))+(-6*(5*x-2))/((5*x-2)*(x-1)) = 0

4*(x-1)-6*(5*x-2) = 0

(4-30)*x-4+12 = 0

((4-30)*x-4+12)/((5*x-2)*(x-1)) = 0

((4-30)*x-4+12)/((5*x-2)*(x-1)) = 0 // * (5*x-2)*(x-1)

(4-30)*x-4+12 = 0

(4-30)*x-4+12 = 0 // - 12-4

(4-30)*x = -(12-4) // : 4-30

x = (-(12-4))/(4-30)

x = (4-12)/(4-30)

x = (4-12)/(4-30)

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