(x/9-1/x)/(3-x)/(9x)

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


D( x )

9*x = 0

x = 0

3-x = 0

9*x = 0

9*x = 0

9*x = 0 // : 9

x = 0

x = 0

x = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

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

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

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

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

1/9*x-x^-1 = 0

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

1/9*x^2 = 1 // : 1/9

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x^-1*(x-3)*(x+3) = 0

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-3 )

x-3 = 0 // + 3

x = 3

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { 3} 

x = -3

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