x*(50/x)=2.5x*((50/x)+2.5)

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Solution for x*(50/x)=2.5x*((50/x)+2.5) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(50/x)*x = 2.5*x*(50/x+2.5) // - 2.5*x*(50/x+2.5)

(50/x)*x-(2.5*x*(50/x+2.5)) = 0

(50/x)*x-2.5*x*(50/x+2.5) = 0

50-2.5*x*(50*x^-1+2.5) = 0

50-2.5*x*(50*x^-1+2.5) = 0

-6.25*x-75 = 0

-6.25*x-75 = 0

-6.25*x-75 = 0 // + 75

-6.25*x = 75 // : -6.25

x = 75/(-6.25)

x = -12

x = -12

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