Can You Solve This Equation Without Expanding Everything?

You can solve this equation without solving a quartic equation. In this math tutorial, I solve the algebraic equation x² + 4(x/(x−2))² = 45 using a clever algebraic transformation that avoids expanding into a fourth-degree polynomial. This math tutorial focuses on recognizing structure in rational equations, using substitution ideas, and simplifying expressions involving squares and fractions. This problem shows how difficult-looking algebra equations can become simple when approached strategically and this makes it ideal for high school and pre-calculus students, math competition learners, and anyone preparing for exams. If you’re searching for rational equation examples, algebra substitution techniques, or elegant ways to solve hard algebra problems, this video walks through the reasoning step by step. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! You can support me here: https://buymeacoffee.com/nonsomaths