Step 1: Prepare the Veggies - Slice the yellow onion, red onion, red pepper, and yellow pepper into thin strips.
Step 2: Season the Beef - In a large bowl, combine the ground beef with salt and pepper.
Step 3: Form the Patties - Divide the seasoned beef into four equal portions and shape them into patties.
Step 4: Heat the Griddle - Preheat your griddle over medium-high heat and add 2 tablespoons of salted butter.
Step 5: Cook the Veggies - Add your sliced onions and peppers to the griddle, seasoning with salt and pepper.
Step 6: Cook the Patties - Place the beef patties on the griddle, cooking until browned; add cheese on top.
Step 7: Fry the Eggs - Add 1 tablespoon of butter and crack the eggs onto the griddle, cooking to preference.
Step 8: Toast the Buns - Split the hamburger buns and place them cut-side down on the griddle.
Step 9: Assemble the Burgers - Start with the toasted bun, add the beef patty, sautéed veggies, and a fried egg.
Step 10: Enjoy! - Serve immediately while everything is hot and fresh.