x/(100-x)=19

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Solution for x/(100-x)=19 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)

x/(100-x) = 19 // - 19

x/(100-x)-19 = 0

x/(100-x)+(-19*(100-x))/(100-x) = 0

x-19*(100-x) = 0

20*x-1900 = 0

(20*x-1900)/(100-x) = 0

(20*x-1900)/(100-x) = 0 // * 100-x

20*x-1900 = 0

20*x-1900 = 0 // + 1900

20*x = 1900 // : 20

x = 1900/20

x = 95

x = 95

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