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

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


D( x )

x+1 = 0

5*x-1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

5*x-1 = 0

5*x-1 = 0

5*x-1 = 0 // + 1

5*x = 1 // : 5

x = 1/5

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

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

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

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

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

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

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

9*x-9 = 0

(9*x-9)/((x+1)*(5*x-1)) = 0

(9*x-9)/((x+1)*(5*x-1)) = 0 // * (x+1)*(5*x-1)

9*x-9 = 0

9*x-9 = 0 // + 9

9*x = 9 // : 9

x = 9/9

x = 1

x = 1

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