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D( x )
4*x-(1/2) <= 0
x^2+6*x <= 0
4*x-(1/2) <= 0
4*x-(1/2) <= 0
4*x-1/2 <= 0
4*x-1/2 <= 0 // + 1/2
4*x <= 1/2 // : 4
x <= 1/2/4
x <= 1/8
x^2+6*x <= 0
x^2+6*x <= 0
x^2+6*x <= 0
DELTA = 6^2-(0*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)-6)/(1*2) or x = (-36^(1/2)-6)/(1*2)
x = 0 or x = -6
a = 1
a > 0
x in <-6:0>
x in (1/8:+oo)
ln(x^2+6*x) = ln(4*x-(1/2))+ln(2) // - ln(4*x-(1/2))+ln(2)
ln(x^2+6*x)-ln(4*x-(1/2))-ln(2) = 0
ln(x^2+6*x)-ln(4*x-1/2)-ln(2) = 0
ln(1*(x^2+6*x))-ln(4*x-1/2)-ln(2) = 0
ln((1*(x^2+6*x))/(4*x-1/2))-ln(2) = 0
ln((1*(x^2+6*x))/(4*x-1/2))+ln(1/2) = 0
ln((1*(x^2+6*x))/(4*x-1/2))+ln(1/2) = 0 // - ln(1/2)
ln((1*(x^2+6*x))/(4*x-1/2)) = -ln(1/2)
(1*(x^2+6*x))/(4*x-1/2) = 1/1/2
(1*(x^2+6*x))/(4*x-1/2)-(1/1/2) = 0
(1*(x^2+6*x))/(4*x-1/2)-2 = 0
(1*(x^2+6*x))/(4*x-1/2)+(-2*(4*x-1/2))/(4*x-1/2) = 0
1*(x^2+6*x)-2*(4*x-1/2) = 0
x^2-2*x+1 = 0
x^2-2*x+1 = 0
x^2-2*x+1 = 0
DELTA = (-2)^2-(1*1*4)
DELTA = 0
x = 2/(1*2)
x = 1 or x = 1
(x-1)^2 = 0
((x-1)^2)/(4*x-1/2) = 0
((x-1)^2)/(4*x-1/2) = 0 // * 4*x-1/2
(x-1)^2 = 0
x-1 = 0 // + 1
x = 1
x in { 1, 1 }
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