2/5-1/x=1/2x

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Solution for 2/5-1/x=1/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/5-(1/x) = (1/2)*x // - (1/2)*x

2/5-((1/2)*x)-(1/x) = 0

(-1/2)*x-x^-1+2/5 = 0

2/5*x^0-1/2*x^1-1*x^-1 = 0

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

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

x^1

(-1/2)*x^2+(2/5)*x-1 = 0

(-1/2)*x^2+(2/5)*x-1 = 0

DELTA = (2/5)^2-(-1*4*(-1/2))

DELTA = -46/25

DELTA < 0

x in { } 

x belongs to the empty set

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