9=x/(100-x)

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Solution for 9=x/(100-x) equation: 


D( x )

100-x = 0

100-x = 0

100-x = 0

100-x = 0 // - 100

-x = -100 // * -1

x = 100

x in (-oo:100) U (100:+oo)

9 = x/(100-x) // - x/(100-x)

9-(x/(100-x)) = 0

(-1*x)/(100-x)+9 = 0

(-1*x)/(100-x)+(9*(100-x))/(100-x) = 0

9*(100-x)-1*x = 0

900-10*x = 0

(900-10*x)/(100-x) = 0

(900-10*x)/(100-x) = 0 // * 100-x

900-10*x = 0

900-10*x = 0 // - 900

-10*x = -900 // : -10

x = -900/(-10)

x = 90

x = 90

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