200/9=50x/(100-x)

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Solution for 200/9=50x/(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)

200/9 = (50*x)/(100-x) // - (50*x)/(100-x)

200/9-((50*x)/(100-x)) = 0

200/9-50*x*(100-x)^-1 = 0

(-50*x)/(100-x)+200/9 = 0

(-50*9*x)/(9*(100-x))+(200*(100-x))/(9*(100-x)) = 0

200*(100-x)-50*9*x = 0

20000-650*x = 0

(20000-650*x)/(9*(100-x)) = 0

(20000-650*x)/(9*(100-x)) = 0 // * 9*(100-x)

20000-650*x = 0

20000-650*x = 0 // - 20000

-650*x = -20000 // : -650

x = -20000/(-650)

x = 400/13

x = 400/13

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