5/(x-10)=1/x

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Solution for 5/(x-10)=1/x equation: 


D( x )

x = 0

x-10 = 0

x = 0

x = 0

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:0) U (0:10) U (10:+oo)

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

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

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

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

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

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

4*x+10 = 0

(4*x+10)/(x*(x-10)) = 0

(4*x+10)/(x*(x-10)) = 0 // * x*(x-10)

4*x+10 = 0

4*x+10 = 0 // - 10

4*x = -10 // : 4

x = -10/4

x = -5/2

x = -5/2

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