[tex] 3(x+4)^2-162=0\ \ \ \ |+162\\\\3(x+4)^2=162\ \ \ \ |:3\\\\(x+4)^2=54\to x+4=\pm\sqrt{54}\\\\x+4=-\sqrt{9\cdot6}\ \vee\ x+4=\sqrt{9\cdot6}\\\\x+4=-\sqrt9\cdot\sqrt6\ \vee\ x+4=\sqrt9\cdot\sqrt6\\\\x+4=-3\sqrt6\ \vee\ x+4=3\sqrt6\ \ \ \ |-4\\\\x=-3\sqrt6-4\ \vee\ x=3\sqrt6-4 [/tex]