31000=((2750x)/(100-x))

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Solution for 31000=((2750x)/(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)

31000 = (2750*x)/(100-x) // - (2750*x)/(100-x)

31000-((2750*x)/(100-x)) = 0

31000-2750*x*(100-x)^-1 = 0

(-2750*x)/(100-x)+31000 = 0

(-2750*x)/(100-x)+(31000*(100-x))/(100-x) = 0

31000*(100-x)-2750*x = 0

3100000-33750*x = 0

(3100000-33750*x)/(100-x) = 0

(3100000-33750*x)/(100-x) = 0 // * 100-x

3100000-33750*x = 0

3100000-33750*x = 0 // - 3100000

-33750*x = -3100000 // : -33750

x = -3100000/(-33750)

x = 2480/27

x = 2480/27

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