How to Make It
Preheat the oven to 450°. In a large roasting pan, toss the brussels sprouts with the potatoes, mushrooms, sausages and olive oil; season with salt and pepper. Roast for about 30 minutes, stirring once or twice, until the vegetables are tender and lightly browned. Carefully crack the eggs into the pan and sprinkle with the cheese. Roast for about 4 minutes longer, until the eggs are barely set and the cheese is melted. Stir everything together and serve right away.