[tex]3(x+2)^2=48\qquad\boxed{\text{divide both sides by 3}}\\\\(x+2)^2=16\qquad\boxed{\text{take the square root of both sides}}\\\\\sqrt{(x+2)^2}=\sqrt{16}\\\\|x+2|=4\iff x+2=-4\ \vee\ x+2=4\qquad\boxed{\text{subtract 2 from both sides}}\\\\x=-6\ \vee\ x=2[/tex]
