5/x=1/(x-4)

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Solution for 5/x=1/(x-4) equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

5/x = 1/(x-4) // - 1/(x-4)

5/x-(1/(x-4)) = 0

5/x-(x-4)^-1 = 0

5/x-1/(x-4) = 0

(-1*x)/(x*(x-4))+(5*(x-4))/(x*(x-4)) = 0

5*(x-4)-1*x = 0

4*x-20 = 0

(4*x-20)/(x*(x-4)) = 0

(4*x-20)/(x*(x-4)) = 0 // * x*(x-4)

4*x-20 = 0

4*x-20 = 0 // + 20

4*x = 20 // : 4

x = 20/4

x = 5

x = 5

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