2/x-3=5x

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Solution for 2/x-3=5x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-3 = 5*x // - 5*x

2/x-(5*x)-3 = 0

2/x-5*x-3 = 0

2*x^-1-5*x^1-3*x^0 = 0

(2*x^0-5*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-5*x^2-3*x^1) = 0

x^1

2-5*x^2-3*x = 0

2-5*x^2-3*x = 0

DELTA = (-3)^2-(-5*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(-5*2) or x = (3-49^(1/2))/(-5*2)

x = -1 or x = 2/5

x in { -1, 2/5} 

x in { -1, 2/5 }

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