5=(x/50)/((10-x)/100)

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Solution for 5=(x/50)/((10-x)/100) equation: 


D( x )

(10-x)/100 = 0

(10-x)/100 = 0

(10-x)/100 = 0

10-x = 0 // - 10

-x = -10 // * -1

x = 10

x in (-oo:10) U (10:+oo)

5 = (x/50)/((10-x)/100) // - (x/50)/((10-x)/100)

5-((x/50)/((10-x)/100)) = 0

5-2*x*(10-x)^-1 = 0

(-2*x)/(10-x)+5 = 0

(-2*x)/(10-x)+(5*(10-x))/(10-x) = 0

5*(10-x)-2*x = 0

50-7*x = 0

(50-7*x)/(10-x) = 0

(50-7*x)/(10-x) = 0 // * 10-x

50-7*x = 0

50-7*x = 0 // - 50

-7*x = -50 // : -7

x = -50/(-7)

x = 50/7

x = 50/7

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