7/(x-8)=3/x

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Solution for 7/(x-8)=3/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:0) U (0:8) U (8:+oo)

7/(x-8) = 3/x // - 3/x

7/(x-8)-(3/x) = 0

7/(x-8)-3*x^-1 = 0

7/(x-8)-3/x = 0

(7*x)/(x*(x-8))+(-3*(x-8))/(x*(x-8)) = 0

7*x-3*(x-8) = 0

4*x+24 = 0

(4*x+24)/(x*(x-8)) = 0

(4*x+24)/(x*(x-8)) = 0 // * x*(x-8)

4*x+24 = 0

4*x+24 = 0 // - 24

4*x = -24 // : 4

x = -24/4

x = -6

x = -6

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