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D( x )
x+2 = 0
x = 0
x^2+2*x = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x = 0
x = 0
x^2+2*x = 0
x^2+2*x = 0
x^2+2*x = 0
DELTA = 2^2-(0*1*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-2)/(1*2) or x = (-4^(1/2)-2)/(1*2)
x = 0 or x = -2
x in (-oo:-2) U (-2:0) U (0:+oo)
(3*x)/(x+2)+6/x = 12/(x^2+2*x) // - 12/(x^2+2*x)
(3*x)/(x+2)-(12/(x^2+2*x))+6/x = 0
(3*x)/(x+2)-12*(x^2+2*x)^-1+6/x = 0
(3*x)/(x+2)-12/(x^2+2*x)+6/x = 0
x^2+2*x = 0
x^2+2*x = 0
x*(x+2) = 0
x+2 = 0 // - 2
x = -2
x*(x+2) = 0
(3*x)/(x+2)-12/(x*(x+2))+6/x = 0
(3*x*x)/(x*(x+2))-12/(x*(x+2))+(6*(x+2))/(x*(x+2)) = 0
6*(x+2)+3*x*x-12 = 0
3*x^2+6*x-12+12 = 0
3*x^2+6*x = 0
3*x^2+6*x = 0
3*x*(x+2) = 0
x+2 = 0 // - 2
x = -2
3*x*(x+2) = 0
(3*x*(x+2))/(x*(x+2)) = 0
(3*x*(x+2))/(x*(x+2)) = 0 // * x*(x+2)
3*x*(x+2) = 0
( 3*x )
3*x = 0 // : 3
x = 0
( x+2 )
x+2 = 0 // - 2
x = -2
x in { 0}
x in { -2}
x belongs to the empty set
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