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D( x )
4*x^2-1 = 0
x^2+2*x = 0
4*x^2-1 = 0
4*x^2-1 = 0
4*x^2 = 1 // : 4
x^2 = 1/4
x^2 = 1/4 // ^ 1/2
abs(x) = 1/2
x = 1/2 or x = -1/2
x^2+2*x = 0
x^2+2*x = 0
x^2+2*x = 0
DELTA = 2^2-(0*1*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-2)/(1*2) or x = (-4^(1/2)-2)/(1*2)
x = 0 or x = -2
x in (-oo:-2) U (-2:-1/2) U (-1/2:0) U (0:1/2) U (1/2:+oo)
((10*x+5)/(x^2+2*x))*((4*x^2+x+2)/(4*x^2-1)) = 0
((10*x+5)*(4*x^2+x+2))/((x^2+2*x)*(4*x^2-1)) = 0
x^2+2*x = 0
x*(x+2) = 0
x+2 = 0 // - 2
x = -2
x*(x+2) = 0
4*x^2+x+2 = 0
4*x^2+x+2 = 0
DELTA = 1^2-(2*4*4)
DELTA = -31
DELTA < 0
1 = 0
(10*x+5)/(x*(x+2)*(4*x^2-1)) = 0
10*x+5 = 0 // - 5
10*x = -5 // : 10
x = -5/10
x = -1/2
x in { -1/2}
x belongs to the empty set
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