Respuesta :

[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]