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D( x )
8*x^2-(8*x)-6 = 0
16*x^2-4 = 0
8*x^2-(8*x)-6 = 0
8*x^2-(8*x)-6 = 0
8*x^2-8*x-6 = 0
8*x^2-8*x-6 = 0
DELTA = (-8)^2-(-6*4*8)
DELTA = 256
DELTA > 0
x = (256^(1/2)+8)/(2*8) or x = (8-256^(1/2))/(2*8)
x = 3/2 or x = -1/2
16*x^2-4 = 0
16*x^2-4 = 0
16*x^2 = 4 // : 16
x^2 = 1/4
x^2 = 1/4 // ^ 1/2
abs(x) = 1/2
x = 1/2 or x = -1/2
x in (-oo:-1/2) U (-1/2:1/2) U (1/2:3/2) U (3/2:+oo)
2/(16*x^2-4)-(2/(8*x^2-(8*x)-6)) = 0
2/(16*x^2-4)-2*(8*x^2-8*x-6)^-1 = 0
2/(16*x^2-4)-2/(8*x^2-8*x-6) = 0
8*x^2-8*x-6 = 0
8*x^2-8*x-6 = 0
2*(4*x^2-4*x-3) = 0
4*x^2-4*x-3 = 0
DELTA = (-4)^2-(-3*4*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+4)/(2*4) or x = (4-64^(1/2))/(2*4)
x = 3/2 or x = -1/2
2*(x+1/2)*(x-3/2) = 0
2/(16*x^2-4)-2/(2*(x+1/2)*(x-3/2)) = 0
(2^2*(x+1/2)*(x-3/2))/(2*(16*x^2-4)*(x+1/2)*(x-3/2))+(-2*(16*x^2-4))/(2*(16*x^2-4)*(x+1/2)*(x-3/2)) = 0
2^2*(x+1/2)*(x-3/2)-2*(16*x^2-4) = 0
5-28*x^2-4*x = 0
5-28*x^2-4*x = 0
5-28*x^2-4*x = 0
DELTA = (-4)^2-(-28*4*5)
DELTA = 576
DELTA > 0
x = (576^(1/2)+4)/(-28*2) or x = (4-576^(1/2))/(-28*2)
x = -1/2 or x = 5/14
(x+1/2)*(x-5/14) = 0
((x+1/2)*(x-5/14))/(2*(16*x^2-4)*(x+1/2)*(x-3/2)) = 0
((x+1/2)*(x-5/14))/(2*(16*x^2-4)*(x+1/2)*(x-3/2)) = 0 // * 2*(16*x^2-4)*(x+1/2)*(x-3/2)
(x+1/2)*(x-5/14) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x-5/14 )
x-5/14 = 0 // + 5/14
x = 5/14
x in { -1/2}
x = 5/14
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