Final answer:
In 'The Black Cat' by Edgar Allan Poe, the main conflict is the narrator's internal struggle and the complicating incident is when he gouges out one of his cat's eyes in a fit of rage.
Step-by-step explanation:
The complicating incident or conflict that gets the story moving in The Black Cat by Edgar Allan Poe is the narrator's descent into alcoholism and his increasing hostility towards his pets, particularly his black cat. The main problem is the narrator's internal struggle with his own dark impulses, which ultimately lead him to commit acts of cruelty and violence. The inciting incident occurs when the narrator gouges out one of the cat's eyes in a fit of rage, setting off a chain of events that escalate the tension and conflict in the story.