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D( x )
4*x+3 <= 0
x = 0
1/x <= 0
x+2 <= 0
4*x+3 <= 0
4*x+3 <= 0
4*x+3 <= 0 // - 3
4*x <= -3 // : 4
x <= -3/4
x = 0
x = 0
1/x <= 0
1/x <= 0
1*x^-1 <= 0
1*x^-1 <= 0 // : 1
x^-1 <= 0/1
x^-1 <= 0
1/(x^1) <= 0
x <> 0
1/(x^1) <= 0 // * x^2
(x^2)/(x^1) <= 0
x^1 <= 0
x <= 0
x in (-oo:0)
x+2 <= 0
x+2 <= 0
x+2 <= 0 // - 2
x <= -2
x in (0:+oo)
ln(x+2)-ln(4*x+3) = ln(1/x) // - ln(1/x)
ln(x+2)-ln(4*x+3)-ln(1/x) = 0
ln(1*(x+2))-ln(4*x+3)-ln(1/x) = 0
ln((1*(x+2))/(4*x+3))-ln(1/x) = 0
ln(((1*(x+2))/(4*x+3))/(1/x)) = 0
ln(((x+2)/(4*x+3))/(1/x)) = 0
ln(((x+2)/(4*x+3))/(1/x)) = ln(e^0)
((x+2)/(4*x+3))/(1/x) = e^0
((x+2)/(4*x+3))/(1/x)-e^0 = 0
(x+2)/(x^-1*(4*x+3))-1 = 0
(x+2)/(x^-1*(4*x+3))+(-1*x^-1*(4*x+3))/(x^-1*(4*x+3)) = 0
x-1*x^-1*(4*x+3)+2 = 0
x-3*x^-1-2 = 0
x-3*x^-1-2 = 0
1*x^1-3*x^-1-2*x^0 = 0
(1*x^2-2*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-2*x^1-3*x^0) = 0
x^1
x^2-2*x-3 = 0
x^2-2*x-3 = 0
DELTA = (-2)^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)
x = 3 or x = -1
x in { -1, 3}
(x+1)*(x-3) = 0
((x+1)*(x-3))/(x^-1*(4*x+3)) = 0
((x+1)*(x-3))/(x^-1*(4*x+3)) = 0 // * x^-1*(4*x+3)
(x+1)*(x-3) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1}
x = 3
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