x/(x-9)=4/9

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Solution for x/(x-9)=4/9 equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

x/(x-9) = 4/9 // - 4/9

x/(x-9)-(4/9) = 0

x/(x-9)-4/9 = 0

(9*x)/(9*(x-9))+(-4*(x-9))/(9*(x-9)) = 0

9*x-4*(x-9) = 0

5*x+36 = 0

(5*x+36)/(9*(x-9)) = 0

(5*x+36)/(9*(x-9)) = 0 // * 9*(x-9)

5*x+36 = 0

5*x+36 = 0 // - 36

5*x = -36 // : 5

x = -36/5

x = -36/5

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