(x/80)/((200-x)/100)=8.4

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Solution for (x/80)/((200-x)/100)=8.4 equation: 


D( x )

(200-x)/100 = 0

(200-x)/100 = 0

(200-x)/100 = 0

200-x = 0 // - 200

-x = -200 // * -1

x = 200

x in (-oo:200) U (200:+oo)

(x/80)/((200-x)/100) = 8.4 // - 8.4

(x/80)/((200-x)/100)-8.4 = 0

(1/80*100*x)/(200-x)-8.4 = 0

(1/80*100*x)/(200-x)+(-8.4*(200-x))/(200-x) = 0

1/80*100*x-8.4*(200-x) = 0

9.65*x-1680 = 0

(9.65*x-1680)/(200-x) = 0

(9.65*x-1680)/(200-x) = 0 // * 200-x

9.65*x-1680 = 0

9.65*x-1680 = 0 // + 1680

9.65*x = 1680 // : 9.65

x = 1680/9.65

x = 174.09326425

x = 174.09326425

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