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D( x )
x^2+5*x+6 = 0
x+2 = 0
x+3 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:-2) U (-2:+oo)
x/(x+3)+x/(x^2+5*x+6) = 1/(x+2) // - 1/(x+2)
x/(x+3)+x/(x^2+5*x+6)-(1/(x+2)) = 0
x/(x+3)+x/(x^2+5*x+6)-(x+2)^-1 = 0
x/(x+3)+x/(x^2+5*x+6)-1/(x+2) = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
(x+3)*(x+2) = 0
x/(x+3)+x/((x+3)*(x+2))-1/(x+2) = 0
(x*(x+2))/((x+3)*(x+2))+x/((x+3)*(x+2))+(-1*(x+3))/((x+3)*(x+2)) = 0
x*(x+2)-1*(x+3)+x = 0
x^2+3*x-x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
(x+3)*(x-1) = 0
((x+3)*(x-1))/((x+3)*(x+2)) = 0
((x+3)*(x-1))/((x+3)*(x+2)) = 0 // * (x+3)*(x+2)
(x+3)*(x-1) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -3}
x = 1
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