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D( x )
x+4 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x in (-oo:-4) U (-4:+oo)
2*(x/(x+4))^2-(5*(x/(x+4)))-3 = 0
2*(x/(x+4))^2-5*x*(x+4)^-1-3 = 0
(2*x^2)/((x+4)^2)+(-5*x)/(x+4)-3 = 0
(2*x^2)/((x+4)^2)+(-5*x*(x+4))/((x+4)^2)+(-3*(x+4)^2)/((x+4)^2) = 0
2*x^2-5*x*(x+4)-3*(x+4)^2 = 0
-3*x^2-3*x^2-20*x-24*x-48 = 0
-6*x^2-44*x-48 = 0
-6*x^2-44*x-48 = 0
-2*(3*x^2+22*x+24) = 0
3*x^2+22*x+24 = 0
DELTA = 22^2-(3*4*24)
DELTA = 196
DELTA > 0
x = (196^(1/2)-22)/(2*3) or x = (-196^(1/2)-22)/(2*3)
x = -4/3 or x = -6
-2*(x+6)*(x+4/3) = 0
(-2*(x+6)*(x+4/3))/((x+4)^2) = 0
(-2*(x+6)*(x+4/3))/((x+4)^2) = 0 // * (x+4)^2
-2*(x+6)*(x+4/3) = 0
( x+4/3 )
x+4/3 = 0 // - 4/3
x = -4/3
( x+6 )
x+6 = 0 // - 6
x = -6
x in { -4/3, -6 }
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