x2( x + 2 ) + 4( x + 2 ) = 0
<=> ( x + 2 )( x2 + 4 ) = 0
Dễ thấy x2 + 4 ≥ 4 > 0 ∀ x
=> x + 2 = 0 <=> x = -2
Vậy x = -2
\(x^2\left(x+2\right)+4\left(x+2\right)=0\)
\(\Leftrightarrow\left(x^2+4\right)\left(x+2\right)=0\)
TH1 : \(x^2+4=0\Leftrightarrow x^2=-4\)vì :
\(x^2\ge0\forall x;-4< 0\)
TH2 : \(x+2=0\Leftrightarrow x=-2\)
Vậy x = -2