Math Olympiad Problem from Germany | Solve x + 4xy + 2y = 6 for xy 🇩🇪🧠

Can you solve this interesting problem from the Math Olympiad in Germany? 🇩🇪 In this video, we dive into the algebraic equation: 👉 x + 4xy + 2y = 6 and find all possible values for xy. This question looks simple at first glance, but it requires a smart algebraic technique: 1️⃣ Multiplying both sides by 2 to setup factorisation. 2️⃣ Adding 1 to both sides to complete the factors into (4y + 1)(2x + 1) = 13. 3️⃣ Analyzing all factor combinations (Case I to Case IV) to find the exact values for x, y, and xy. ----------------------------------------------------------------------------- 📌 If you enjoyed this video, please like, comment, and subscribe for more Math Olympiad solutions! ❤️ [   / @mattech-v5p  ] ------------------------------------------------------------------------------ #Math #Algebra #MathOlympiad #Germany #GermanMathOlympiad #AlgebraTrick #MathPuzzle #MathProblem