To find the result, you need to multiply the two binomials (the picture shows how to multiply them).
( -9 + 6i )( 3 - 2i )
= -27 + 18i + 18i - [tex]12i^{2}[/tex]
Combine like terms.
= -27 + 36i - [tex]12i^{2}[/tex]
Rearrange your solution into standard form.
= [tex]-12i^{2}[/tex] + 36i - 27
Edit: Actually, don't listen to me. I made a mistake. So sorry! (The first answer is right though).