5/x-1=-10/x+5

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Solution for 5/x-1=-10/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-1 = 5-10/x // - 5-10/x

5/x-(-10/x)-5-1 = 0

5/x+10*x^-1-5-1 = 0

15*x^-1 = 6 // : 15

x^-1 = 2/5

-1 < 0

1/(x^1) = 2/5 // * x^1

1 = 2/5*x^1 // : 2/5

5/2 = x^1

x = 5/2

x = 5/2

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