2x+6=-5/x

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Solution for 2x+6=-5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+6 = -5/x // + -5/x

2*x-(-5/x)+6 = 0

2*x+5*x^-1+6 = 0

2*x^1+5*x^-1+6*x^0 = 0

(2*x^2+6*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+6*x^1+5*x^0) = 0

x^1

2*x^2+6*x+5 = 0

2*x^2+6*x+5 = 0

DELTA = 6^2-(2*4*5)

DELTA = -4

DELTA < 0

x in { } 

x belongs to the empty set

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