Решите уравнение: x^2-9=16-2x^2.

\[x^{2} - 9 = 16 - 2x^{2}\]

\[3x^{2} = 25\]

\[x^{2} = \frac{25}{3}\]

\[x = \pm \frac{5}{\sqrt{3}} = \pm \frac{5\sqrt{3}}{3}\text{.\ }\]