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D( x )
1-(4*x) = 0
(x^2-4)/(1-(4*x)) <= 0
1-(4*x) = 0
1-(4*x) = 0
1-4*x = 0
1-4*x = 0 // - 1
-4*x = -1 // : -4
x = -1/(-4)
x = 1/4
(x^2-4)/(1-(4*x)) <= 0
(x^2-4)/(1-(4*x)) <= 0
(x^2-4)/(1-4*x) <= 0
( 1-4*x )
1-4*x <= 0 // - 1
-4*x <= -1 // : -4
x >= -1/(-4)
x >= 1/4
( x^2-4 )
1*x^2 <= 4
1*x^2 <= 4 // : 1
x^2 <= 4/1
x^2 <= 4
x^2 <= 4 // ^ 1/2
abs(x) <= 2
x in <-2:2>
(-oo:-2) (-2:1/4) (1/4:2) (2:+oo) 1-4*x + + - - x^2-4 + - - +
x in (-oo:-2) U (1/4:2)
ln((x^2-4)/(1-(4*x))) = 0
ln((x^2-4)/(1-4*x)) = 0
ln((x^2-4)/(1-4*x)) = ln(e^0)
(x^2-4)/(1-4*x) = e^0
(x^2-4)/(1-4*x)-e^0 = 0
(x^2-4)/(1-4*x)-1 = 0
(x^2-4)/(1-4*x)+(-1*(1-4*x))/(1-4*x) = 0
x^2-1*(1-4*x)-4 = 0
x^2+4*x-5 = 0
x^2+4*x-5 = 0
x^2+4*x-5 = 0
DELTA = 4^2-(-5*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)-4)/(1*2) or x = (-36^(1/2)-4)/(1*2)
x = 1 or x = -5
(x+5)*(x-1) = 0
((x+5)*(x-1))/(1-4*x) = 0
((x+5)*(x-1))/(1-4*x) = 0 // * 1-4*x
(x+5)*(x-1) = 0
( x+5 )
x+5 = 0 // - 5
x = -5
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -5, 1 }
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