1/(x-4)=-(6/x)

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Solution for 1/(x-4)=-(6/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)

1/(x-4) = -(6/x) // + 6/x

1/(x-4)+6/x = 0

(1*x)/(x*(x-4))+(6*(x-4))/(x*(x-4)) = 0

6*(x-4)+1*x = 0

7*x-24 = 0

(7*x-24)/(x*(x-4)) = 0

(7*x-24)/(x*(x-4)) = 0 // * x*(x-4)

7*x-24 = 0

7*x-24 = 0 // + 24

7*x = 24 // : 7

x = 24/7

x = 24/7

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