4/(5x-7)=6/(x-1)

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Solution for 4/(5x-7)=6/(x-1) equation: 


D( x )

5*x-7 = 0

x-1 = 0

5*x-7 = 0

5*x-7 = 0

5*x-7 = 0 // + 7

5*x = 7 // : 5

x = 7/5

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:7/5) U (7/5:+oo)

4/(5*x-7) = 6/(x-1) // - 6/(x-1)

4/(5*x-7)-(6/(x-1)) = 0

4/(5*x-7)-6*(x-1)^-1 = 0

4/(5*x-7)-6/(x-1) = 0

(4*(x-1))/((5*x-7)*(x-1))+(-6*(5*x-7))/((5*x-7)*(x-1)) = 0

4*(x-1)-6*(5*x-7) = 0

(4-30)*x-4+42 = 0

((4-30)*x-4+42)/((5*x-7)*(x-1)) = 0

((4-30)*x-4+42)/((5*x-7)*(x-1)) = 0 // * (5*x-7)*(x-1)

(4-30)*x-4+42 = 0

(4-30)*x-4+42 = 0 // - 42-4

(4-30)*x = -(42-4) // : 4-30

x = (-(42-4))/(4-30)

x = (4-42)/(4-30)

x = (4-42)/(4-30)

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