[tex](x - 3)(x + 3) = 12 - (x - 2)(x + 2)[/tex]
[tex] {x}^{2} - {3}^{2} = 12 - ( {x}^{2} - {2}^{2} )[/tex]
[tex] {x}^{2} - 9 = 12 - ( {x}^{2} - 4)[/tex]
[tex] {x}^{2} - 9 = 12 - {x}^{2} + 4[/tex]
[tex] {x}^{2} + {x}^{2} = 12 + 4 + 9[/tex]
[tex]2 {x}^{2} = 25[/tex]
[tex] {x}^{2} = \frac{25}{2} [/tex]
[tex]x = \pm \sqrt{ \frac{25}{2} } [/tex]
[tex]x = \pm \frac{ \sqrt{25} }{ \sqrt{2} } [/tex]
[tex]x = \pm \frac{5}{ \sqrt{2} } [/tex]
[tex]x = \pm \frac{5 \sqrt{2} }{2} [/tex]
