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D( x )
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0 // - 1
2*x = -1 // : 2
x = -1/2
x in (-oo:-1/2) U (-1/2:+oo)
(8*x^2-(12*x)-16)/(2*x+1) = 0
(8*x^2-12*x-16)/(2*x+1) = 0
8*x^2-12*x-16 = 0
4*(2*x^2-3*x-4) = 0
2*x^2-3*x-4 = 0
DELTA = (-3)^2-(-4*2*4)
DELTA = 41
DELTA > 0
x = (41^(1/2)+3)/(2*2) or x = (3-41^(1/2))/(2*2)
x = (41^(1/2)+3)/4 or x = (3-41^(1/2))/4
4*(x-((3-41^(1/2))/4))*(x-((41^(1/2)+3)/4)) = 0
(4*(x-((3-41^(1/2))/4))*(x-((41^(1/2)+3)/4)))/(2*x+1) = 0
( x-((3-41^(1/2))/4) )
x-((3-41^(1/2))/4) = 0 // + (3-41^(1/2))/4
x = (3-41^(1/2))/4
( x-((41^(1/2)+3)/4) )
x-((41^(1/2)+3)/4) = 0 // + (41^(1/2)+3)/4
x = (41^(1/2)+3)/4
x in { (3-41^(1/2))/4, (41^(1/2)+3)/4 }
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