2(x-5)^-1+1/x=0

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Solution for 2(x-5)^-1+1/x=0 equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

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

2/(x-5)+1/x = 0

(2*x)/(x*(x-5))+(1*(x-5))/(x*(x-5)) = 0

1*(x-5)+2*x = 0

3*x-5 = 0

(3*x-5)/(x*(x-5)) = 0

(3*x-5)/(x*(x-5)) = 0 // * x*(x-5)

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x = 5/3

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