5/(3x+6)=2/(9x)

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Solution for 5/(3x+6)=2/(9x) equation:


D( x )

3*x+6 = 0

9*x = 0

3*x+6 = 0

3*x+6 = 0

3*x+6 = 0 // - 6

3*x = -6 // : 3

x = -6/3

x = -2

9*x = 0

9*x = 0

9*x = 0 // : 9

x = 0

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

5/(3*x+6) = 2/(9*x) // - 2/(9*x)

5/(3*x+6)-(2/(9*x)) = 0

5/(3*x+6)+(-2/9)*x^-1 = 0

5/(3*x+6)-2/(9*x) = 0

(5*9*x)/(9*x*(3*x+6))+(-2*(3*x+6))/(9*x*(3*x+6)) = 0

5*9*x-2*(3*x+6) = 0

39*x-12 = 0

(39*x-12)/(9*x*(3*x+6)) = 0

(39*x-12)/(9*x*(3*x+6)) = 0 // * 9*x*(3*x+6)

39*x-12 = 0

39*x-12 = 0 // + 12

39*x = 12 // : 39

x = 12/39

x = 4/13

x = 4/13

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