10=(x/30)/(0.1-x/50)

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Solution for 10=(x/30)/(0.1-x/50) equation:


D( x )

0.1-(x/50) = 0

0.1-(x/50) = 0

0.1-(x/50) = 0

0.1-1/50*x = 0 // - 0.1

-1/50*x = -0.1 // : -1/50

x = -0.1/(-1/50)

x = 5

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

10 = (x/30)/(0.1-(x/50)) // - (x/30)/(0.1-(x/50))

10-((x/30)/(0.1-(x/50))) = 0

(-1*1/30*x)/(0.1-1/50*x)+10 = 0

(-1*1/30*x)/(0.1-1/50*x)+(10*(0.1-1/50*x))/(0.1-1/50*x) = 0

10*(0.1-1/50*x)-1*1/30*x = 0

1-7/30*x = 0

(1-7/30*x)/(0.1-1/50*x) = 0

(1-7/30*x)/(0.1-1/50*x) = 0 // * 0.1-1/50*x

1-7/30*x = 0

1-7/30*x = 0 // - 1

-7/30*x = -1 // : -7/30

x = -1/(-7/30)

x = 30/7

x = 30/7

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