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

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

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

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

(-5/4)*x*(200-x)^-1+8.4 = 0

(-5/4*x)/(200-x)+8.4 = 0

(-5/4*x)/(200-x)+(8.4*(200-x))/(200-x) = 0

8.4*(200-x)+(-5*x)/4 = 0

1680-9.65*x = 0

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

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

1680-9.65*x = 0

1680-9.65*x = 0 // - 1680

-9.65*x = -1680 // : -9.65

x = -1680/(-9.65)

x = 174.09326425

x = 174.09326425

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