(x-2)/((x)(x)+6x)

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Solution for (x-2)/((x)(x)+6x) equation: 


D( x )

x*x+6*x = 0

x*x+6*x = 0

x*x+6*x = 0

x^2+6*x = 0

DELTA = 6^2-(0*1*4)

DELTA = 36

DELTA > 0

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

x = 0 or x = -6

x in (-oo:-6) U (-6:0) U (0:+oo)

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

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

x^2+6*x = 0

x*(x+6) = 0

x+6 = 0 // - 6

x = -6

x*(x+6) = 0

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

x-2 = 0 // + 2

x = 2

x = 2

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