6/(x+6)=8/x

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Solution for 6/(x+6)=8/x equation: 


D( x )

x = 0

x+6 = 0

x = 0

x = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:0) U (0:+oo)

6/(x+6) = 8/x // - 8/x

6/(x+6)-(8/x) = 0

6/(x+6)-8*x^-1 = 0

6/(x+6)-8/x = 0

(6*x)/(x*(x+6))+(-8*(x+6))/(x*(x+6)) = 0

6*x-8*(x+6) = 0

-2*x-48 = 0

(-2*x-48)/(x*(x+6)) = 0

(-2*x-48)/(x*(x+6)) = 0 // * x*(x+6)

-2*x-48 = 0

-2*x-48 = 0 // + 48

-2*x = 48 // : -2

x = 48/(-2)

x = -24

x = -24

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