(50)/(x-2)=(30)/x

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Solution for (50)/(x-2)=(30)/x equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

50/(x-2) = 30/x // - 30/x

50/(x-2)-(30/x) = 0

50/(x-2)-30*x^-1 = 0

50/(x-2)-30/x = 0

(50*x)/(x*(x-2))+(-30*(x-2))/(x*(x-2)) = 0

50*x-30*(x-2) = 0

20*x+60 = 0

(20*x+60)/(x*(x-2)) = 0

(20*x+60)/(x*(x-2)) = 0 // * x*(x-2)

20*x+60 = 0

20*x+60 = 0 // - 60

20*x = -60 // : 20

x = -60/20

x = -3

x = -3

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