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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

3*6*x-1*(6*x^2-x^3) = 0

x^3-6*x^2+18*x = 0

x^3-6*x^2+18*x = 0

x*(x^2-6*x+18) = 0

x^2-6*x+18 = 0

DELTA = (-6)^2-(1*4*18)

DELTA = -36

DELTA < 0

x = 0

x/(6*x) = 0

x/(6*x) = 0 // * 6*x

x = 0

x = 0

x in { 0} 

x belongs to the empty set

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