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-12-4 = 0

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

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

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

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