3x^2-2/x=6x-2/x

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Solution for 3x^2-2/x=6x-2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x^2-(2/x) = 6*x-(2/x) // - 6*x-(2/x)

3*x^2-(6*x)-(2/x)+2/x = 0

3*x^2-6*x-2*x^-1+2/x = 0

3*x^2-6*x = 0

DELTA = (-6)^2-(0*3*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+6)/(2*3) or x = (6-36^(1/2))/(2*3)

x = 2 or x = 0

x in { 0} 

x = 2

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