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D( x )
x+3 = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:+oo)
x/(x+3) = (x-4)/3 // - (x-4)/3
x/(x+3)-((x-4)/3) = 0
x/(x+3)+(-1*(x-4))/3 = 0
(3*x)/(3*(x+3))+(-1*(x-4)*(x+3))/(3*(x+3)) = 0
3*x-1*(x-4)*(x+3) = 0
4*x-x^2+12 = 0
4*x-x^2+12 = 0
4*x-x^2+12 = 0
DELTA = 4^2-(-1*4*12)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(-1*2) or x = (-64^(1/2)-4)/(-1*2)
x = -2 or x = 6
(x+2)*(x-6) = 0
((x+2)*(x-6))/(3*(x+3)) = 0
((x+2)*(x-6))/(3*(x+3)) = 0 // * 3*(x+3)
(x+2)*(x-6) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -2, 6 }
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