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D( x )
x = 0
x+9 = 0
x = 0
x = 0
x+9 = 0
x+9 = 0
x+9 = 0 // - 9
x = -9
x in (-oo:-9) U (-9:0) U (0:+oo)
3/(x+9)+8/x = 2 // - 2
3/(x+9)+8/x-2 = 0
(3*x)/(x*(x+9))+(8*(x+9))/(x*(x+9))+(-2*x*(x+9))/(x*(x+9)) = 0
8*(x+9)-2*x*(x+9)+3*x = 0
11*x-2*x^2-18*x+72 = 0
72-2*x^2-7*x = 0
72-2*x^2-7*x = 0
72-2*x^2-7*x = 0
DELTA = (-7)^2-(-2*4*72)
DELTA = 625
DELTA > 0
x = (625^(1/2)+7)/(-2*2) or x = (7-625^(1/2))/(-2*2)
x = -8 or x = 9/2
(x+8)*(x-9/2) = 0
((x+8)*(x-9/2))/(x*(x+9)) = 0
((x+8)*(x-9/2))/(x*(x+9)) = 0 // * x*(x+9)
(x+8)*(x-9/2) = 0
( x+8 )
x+8 = 0 // - 8
x = -8
( x-9/2 )
x-9/2 = 0 // + 9/2
x = 9/2
x in { -8, 9/2 }
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