$( 2x + 7 )^2 = 9( x + 2 )^2$
$⇔ ( 2x + 7 )^2 - 9 ( x + 2 )^2 = 0$
$⇔ ( 2x + 7 )^2 - [ 3( x + 2 )]^2 = 0$
$⇔ ( 2x + 7 )^2 - ( 3x + 6 )^2 = 0$
$⇔ ( 2x + 7 - 3x - 6 )( 2x + 7 + 3x + 6 ) = 0$
$⇔ ( 1 - x )( 5x + 13 ) = 0$
$⇔$ \(\left[ \begin{array}{l}1-x=0.\\5x+13=0.\end{array} \right.\)
$⇔$ \(\left[ \begin{array}{l}1-x=0.\\5x=-13.\end{array} \right.\)
$⇔$ \(\left[ \begin{array}{l}x=1.\\x=-\frac{13}{5}.\end{array} \right.\)
Vậy...