7.5=(x/25)/((5-x)/100)

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Solution for 7.5=(x/25)/((5-x)/100) equation: 


D( x )

(5-x)/100 = 0

(5-x)/100 = 0

(5-x)/100 = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x in (-oo:5) U (5:+oo)

7.5 = (x/25)/((5-x)/100) // - (x/25)/((5-x)/100)

7.5-((x/25)/((5-x)/100)) = 0

7.5-4*x*(5-x)^-1 = 0

(-4*x)/(5-x)+7.5 = 0

(-4*x)/(5-x)+(7.5*(5-x))/(5-x) = 0

7.5*(5-x)-4*x = 0

37.5-11.5*x = 0

(37.5-11.5*x)/(5-x) = 0

(37.5-11.5*x)/(5-x) = 0 // * 5-x

37.5-11.5*x = 0

37.5-11.5*x = 0 // - 37.5

-11.5*x = -37.5 // : -11.5

x = -37.5/(-11.5)

x = 3.26086957

x = 3.26086957

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