3/(7x-2)=9/(3x-1)

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Solution for 3/(7x-2)=9/(3x-1) equation:


D( x )

3*x-1 = 0

7*x-2 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

7*x-2 = 0

7*x-2 = 0

7*x-2 = 0 // + 2

7*x = 2 // : 7

x = 2/7

x in (-oo:2/7) U (2/7:1/3) U (1/3:+oo)

3/(7*x-2) = 9/(3*x-1) // - 9/(3*x-1)

3/(7*x-2)-(9/(3*x-1)) = 0

3/(7*x-2)-9*(3*x-1)^-1 = 0

3/(7*x-2)-9/(3*x-1) = 0

(3*(3*x-1))/((7*x-2)*(3*x-1))+(-9*(7*x-2))/((7*x-2)*(3*x-1)) = 0

3*(3*x-1)-9*(7*x-2) = 0

15-54*x = 0

(15-54*x)/((7*x-2)*(3*x-1)) = 0

(15-54*x)/((7*x-2)*(3*x-1)) = 0 // * (7*x-2)*(3*x-1)

15-54*x = 0

15-54*x = 0 // - 15

-54*x = -15 // : -54

x = -15/(-54)

x = 5/18

x = 5/18

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