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D( x )
x = 0
11*x+9 = 0
x = 0
x = 0
11*x+9 = 0
11*x+9 = 0
11*x+9 = 0 // - 9
11*x = -9 // : 11
x = -9/11
x in (-oo:-9/11) U (-9/11:0) U (0:+oo)
(4*x)/(11*x+9) = 3/x // - 3/x
(4*x)/(11*x+9)-(3/x) = 0
(4*x)/(11*x+9)-3*x^-1 = 0
(4*x)/(11*x+9)-3/x = 0
(4*x*x)/(x*(11*x+9))+(-3*(11*x+9))/(x*(11*x+9)) = 0
4*x*x-3*(11*x+9) = 0
4*x^2-33*x-27 = 0
4*x^2-33*x-27 = 0
4*x^2-33*x-27 = 0
DELTA = (-33)^2-(-27*4*4)
DELTA = 1521
DELTA > 0
x = (1521^(1/2)+33)/(2*4) or x = (33-1521^(1/2))/(2*4)
x = 9 or x = -3/4
(x+3/4)*(x-9) = 0
((x+3/4)*(x-9))/(x*(11*x+9)) = 0
((x+3/4)*(x-9))/(x*(11*x+9)) = 0 // * x*(11*x+9)
(x+3/4)*(x-9) = 0
( x+3/4 )
x+3/4 = 0 // - 3/4
x = -3/4
( x-9 )
x-9 = 0 // + 9
x = 9
x in { -3/4, 9 }
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