[tex]2n^2 -8=-33[/tex]
[tex]
2n^2=-33+8
[/tex] [tex] Add \ 8 \ to \ both \ sides[/tex]
[tex]2n^2=-25[/tex]
[tex]n^2=- \dfrac{25}{2} [/tex] [tex]Divide \ both \ sides \ by \ 2[/tex]
[tex]n=+ \sqrt{ -\dfrac{25}{2} } [/tex] [tex]Take \ the \ square \ root \ of \ both \ sides[/tex]
[tex]n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}} [/tex]