8.4=x/40/((45.87-x)/100)

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Solution for 8.4=x/40/((45.87-x)/100) equation: 


D( x )

(45.87-x)/100 = 0

(45.87-x)/100 = 0

(45.87-x)/100 = 0

45.87-x = 0 // - 45.87

-x = -45.87 // * -1

x = 45.87

x in (-oo:45.87) U (45.87:+oo)

8.4 = (x/40)/((45.87-x)/100) // - (x/40)/((45.87-x)/100)

8.4-((x/40)/((45.87-x)/100)) = 0

(-5/2)*x*(45.87-x)^-1+8.4 = 0

(-5/2*x)/(45.87-x)+8.4 = 0

(-5/2*x)/(45.87-x)+(8.4*(45.87-x))/(45.87-x) = 0

8.4*(45.87-x)+(-5*x)/2 = 0

385.308-10.9*x = 0

(385.308-10.9*x)/(45.87-x) = 0

(385.308-10.9*x)/(45.87-x) = 0 // * 45.87-x

385.308-10.9*x = 0

385.308-10.9*x = 0 // - 385.308

-10.9*x = -385.308 // : -10.9

x = -385.308/(-10.9)

x = 35.3493578

x = 35.3493578

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