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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
12/(x^2)-(24/x)-16+4 = 3 // - 3
12/(x^2)-(24/x)-16-3+4 = 0
12/(x^2)-24*x^-1-16-3+4 = 0
12*x^-2-24*x^-1-15 = 0
t_1 = x^-1
12*t_1^2-24*t_1^1-15 = 0
12*t_1^2-24*t_1-15 = 0
DELTA = (-24)^2-(-15*4*12)
DELTA = 1296
DELTA > 0
t_1 = (1296^(1/2)+24)/(2*12) or t_1 = (24-1296^(1/2))/(2*12)
t_1 = 5/2 or t_1 = -1/2
t_1 = -1/2
x^-1+1/2 = 0
1*x^-1 = -1/2 // : 1
x^-1 = -1/2
-1 < 0
1/(x^1) = -1/2 // * x^1
1 = -1/2*x^1 // : -1/2
-2 = x^1
x = -2
t_1 = 5/2
x^-1-5/2 = 0
1*x^-1 = 5/2 // : 1
x^-1 = 5/2
-1 < 0
1/(x^1) = 5/2 // * x^1
1 = 5/2*x^1 // : 5/2
2/5 = x^1
x = 2/5
x in { -2, 2/5 }
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