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D( x )
x^2+4*x+3 = 0
x^2-9 = 0
x^2+4*x+3 = 0
x^2+4*x+3 = 0
x^2+4*x+3 = 0
DELTA = 4^2-(1*3*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-4)/(1*2) or x = (-4^(1/2)-4)/(1*2)
x = -1 or x = -3
x^2-9 = 0
x^2-9 = 0
1*x^2 = 9 // : 1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in (-oo:-3) U (-3:-1) U (-1:3) U (3:+oo)
(x+2)/(x^2+4*x+3)-((5*x)/(x^2-9)) = 0
(x+2)/(x^2+4*x+3)-5*x*(x^2-9)^-1 = 0
(x+2)/(x^2+4*x+3)+(-5*x)/(x^2-9) = 0
x^2+4*x+3 = 0
x^2+4*x+3 = 0
x^2+4*x+3 = 0
DELTA = 4^2-(1*3*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-4)/(1*2) or x = (-4^(1/2)-4)/(1*2)
x = -1 or x = -3
(x+3)*(x+1) = 0
(x+2)/((x+3)*(x+1))+(-5*x)/(x^2-9) = 0
((x+2)*(x^2-9))/((x+3)*(x+1)*(x^2-9))+(-5*x*(x+3)*(x+1))/((x+3)*(x+1)*(x^2-9)) = 0
(x+2)*(x^2-9)-5*x*(x+3)*(x+1) = 0
-4*x^3-18*x^2-24*x-18 = 0
-4*x^3-18*x^2-24*x-18 = 0
-2*(2*x^3+9*x^2+12*x+9) = 0
2*x^3+9*x^2+12*x+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
2*x^3+9*x^2+12*x+9 = 32
1
-1
x = -1
2*x^3+9*x^2+12*x+9 = 4
-1
3
x = 3
2*x^3+9*x^2+12*x+9 = 180
3
-3
x = -3
2*x^3+9*x^2+12*x+9 = 0
-3
x+3
2*x^2+3*x+3
2*x^3+9*x^2+12*x+9
x+3
-2*x^3-6*x^2
3*x^2+12*x+9
-3*x^2-9*x
3*x+9
-3*x-9
0
2*x^2+3*x+3 = 0
DELTA = 3^2-(2*3*4)
DELTA = -15
DELTA < 0
x in { -3}
-2*(x+3) = 0
(-2*(x+3))/((x+3)*(x+1)*(x^2-9)) = 0
(-2*(x+3))/((x+3)*(x+1)*(x^2-9)) = 0 // * (x+3)*(x+1)*(x^2-9)
-2*(x+3) = 0
x+3 = 0 // - 3
x = -3
x in { -3}
x belongs to the empty set
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