4/(x+8)=6/x

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Solution for 4/(x+8)=6/x equation: 


D( x )

x = 0

x+8 = 0

x = 0

x = 0

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:0) U (0:+oo)

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

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

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

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

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

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

-2*x-48 = 0

(-2*x-48)/(x*(x+8)) = 0

(-2*x-48)/(x*(x+8)) = 0 // * x*(x+8)

-2*x-48 = 0

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

-2*x = 48 // : -2

x = 48/(-2)

x = -24

x = -24

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