3/(x-4)+5/x

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Solution for 3/(x-4)+5/x 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)

3/(x-4)+5/x = 0

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

5*(x-4)+3*x = 0

8*x-20 = 0

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

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

8*x-20 = 0

8*x-20 = 0 // + 20

8*x = 20 // : 8

x = 20/8

x = 5/2

x = 5/2

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