5/(3x-2)=10/x

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Solution for 5/(3x-2)=10/x equation:


D( x )

x = 0

3*x-2 = 0

x = 0

x = 0

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:0) U (0:2/3) U (2/3:+oo)

5/(3*x-2) = 10/x // - 10/x

5/(3*x-2)-(10/x) = 0

5/(3*x-2)-10*x^-1 = 0

5/(3*x-2)-10/x = 0

(5*x)/(x*(3*x-2))+(-10*(3*x-2))/(x*(3*x-2)) = 0

5*x-10*(3*x-2) = 0

20-25*x = 0

(20-25*x)/(x*(3*x-2)) = 0

(20-25*x)/(x*(3*x-2)) = 0 // * x*(3*x-2)

20-25*x = 0

20-25*x = 0 // - 20

-25*x = -20 // : -25

x = -20/(-25)

x = 4/5

x = 4/5

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