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D( x )
2*x = 0
2*x = 0
2*x = 0
2*x = 0 // : 2
x = 0
x in (-oo:0) U (0:+oo)
(4*x^4+16*x^3-(8*x^2))/(2*x) = 0
(4*x^4+16*x^3-8*x^2)/(2*x) = 0
4*x^4+16*x^3-8*x^2 = 0
4*x^2*(x^2+4*x-2) = 0
x^2+4*x-2 = 0
DELTA = 4^2-(-2*1*4)
DELTA = 24
DELTA > 0
x = (24^(1/2)-4)/(1*2) or x = (-24^(1/2)-4)/(1*2)
x = (2*6^(1/2)-4)/2 or x = (-2*6^(1/2)-4)/2
4*x^2*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)) = 0
(4*x^2*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)))/(2*x) = 0
( 4*x^2 )
4*x^2 = 0 // : 4
x^2 = 0
x = 0
( x-((-2*6^(1/2)-4)/2) )
x-((-2*6^(1/2)-4)/2) = 0 // + (-2*6^(1/2)-4)/2
x = (-2*6^(1/2)-4)/2
( x-((2*6^(1/2)-4)/2) )
x-((2*6^(1/2)-4)/2) = 0 // + (2*6^(1/2)-4)/2
x = (2*6^(1/2)-4)/2
x in { 0}
x in { (-2*6^(1/2)-4)/2, (2*6^(1/2)-4)/2 }
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