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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)
(6*x)/(x^2)-16 = 24/(x^2)-(3/x)-16-4 // - 24/(x^2)-(3/x)-16-4
(6*x)/(x^2)+3/x-(24/(x^2))-16+4+16 = 0
(6*x)/(x^2)+3/x-24*x^-2-16+4+16 = 0
9*x^-1-24*x^-2+4 = 0
t_1 = x^-1
9*t_1^1-24*t_1^2+4 = 0
9*t_1-24*t_1^2+4 = 0
DELTA = 9^2-(-24*4*4)
DELTA = 465
DELTA > 0
t_1 = (465^(1/2)-9)/(-24*2) or t_1 = (-465^(1/2)-9)/(-24*2)
t_1 = (465^(1/2)-9)/(-48) or t_1 = (465^(1/2)+9)/48
t_1 = (465^(1/2)-9)/(-48)
x^-1-((465^(1/2)-9)/(-48)) = 0
1*x^-1 = (465^(1/2)-9)/(-48) // : 1
x^-1 = (465^(1/2)-9)/(-48)
-1 < 0
1/(x^1) = (465^(1/2)-9)/(-48) // * x^1
1 = ((465^(1/2)-9)/(-48))*x^1 // : (465^(1/2)-9)/(-48)
-48*(465^(1/2)-9)^-1 = x^1
x = -48*(465^(1/2)-9)^-1
t_1 = (465^(1/2)+9)/48
x^-1-((465^(1/2)+9)/48) = 0
1*x^-1 = (465^(1/2)+9)/48 // : 1
x^-1 = (465^(1/2)+9)/48
-1 < 0
1/(x^1) = (465^(1/2)+9)/48 // * x^1
1 = ((465^(1/2)+9)/48)*x^1 // : (465^(1/2)+9)/48
48*(465^(1/2)+9)^-1 = x^1
x = 48*(465^(1/2)+9)^-1
x in { -48*(465^(1/2)-9)^-1, 48*(465^(1/2)+9)^-1 }
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