6x^2/(12x+x^2)

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Solution for 6x^2/(12x+x^2) equation: 


D( x )

x^2+12*x = 0

x^2+12*x = 0

x^2+12*x = 0

x^2+12*x = 0

DELTA = 12^2-(0*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-12)/(1*2) or x = (-144^(1/2)-12)/(1*2)

x = 0 or x = -12

x in (-oo:-12) U (-12:0) U (0:+oo)

(6*x^2)/(x^2+12*x) = 0

x^2+12*x = 0

x*(x+12) = 0

x+12 = 0 // - 12

x = -12

x*(x+12) = 0

(6*x^2)/(x*(x+12)) = 0

6*x^2 = 0 // : 6

x^2 = 0

x = 0

x in { 0} 

x belongs to the empty set

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