x/x-5+9=5/x-5

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Solution for x/x-5+9=5/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/x-5+9 = 5/x-5 // - 5/x-5

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

x/x-5*x^-1-5+5+9 = 0

-5*x^-1 = -10 // : -5

x^-1 = 2

-1 < 0

1/(x^1) = 2 // * x^1

1 = 2*x^1 // : 2

1/2 = x^1

x = 1/2

x = 1/2

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