Question

find all solutions of the equation x^2-9ix=0

Answer 1

x=0, x=9 i

Answer 2

how did you find that?

Answer 3

Executed the following Mathematica function, Solve:
\[\text{Solve}\left[x^2-9 i x==0,x\right]\]Factoring the LHS you get:
x (x - 9i )=0 Does that help?