1) x³ + ²4x + 4x = 0
=> x ( x² + 4x + 4 ) = 0
=> x ( x + 2 )² = 0
=> \(\left[ \begin{array}{l}x=0\\x+2=0\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=0\\x=-2\end{array} \right.\)
2) ( x + 3 )² - 4 = 0
( x + 3 )² = 4
=> ( x + 3 )² = ±2²
=> x + 3 = ±2
=> \(\left[ \begin{array}{l}x+3=2\\x+3=-2\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=-1\\x=-5\end{array} \right.\)