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 -

Combine like terms.
= -27 + 36i -

Rearrange your solution into standard form.
=
+ 36i - 27
Edit: Actually, don't listen to me. I made a mistake. So sorry! (The first answer is right though).