Can You Solve This High School Algebra Problem?

In this math tutorial we solve the equation (x-3)³ - (1/2)(x-2)² + (1/3)(x-1) = 0 using a single clean substitution that collapses the entire equation instantly. Once we make that substitution the equation transforms into something clean and completely solvable. We solve for d, recover all values of x, and verify every solution. Every step is explained clearly from start to finish. At first glance this equation looks like a cubic nightmare — three terms, three different brackets, fractional coefficients. But the right substitution turns it into a straightforward problem that any high school student can finish. That gap between how hard it looks and how easy it becomes is exactly what makes this problem so satisfying and so shareable. What you will learn: How the substitution d = x-3 transforms the entire equation in one move How to solve the resulting equation cleanly for d How to recover all real values of x from d This type of elegant substitution appears in high school algebra competitions, math olympiad qualifying rounds, IB Mathematics, A-Level Mathematics, SAT and ACT advanced sections, and college entrance examinations worldwide. It is a perfect example of how mathematical elegance beats brute force every single time. If you found this helpful, give it a thumbs up, share it with a fellow math lover, and subscribe for weekly videos on algebra, calculus, number theory, and olympiad problem solving. Hit the notification bell so you never miss an upload. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! #maths #algebra #matholympiad #MathTutorial #Polynomials #MathChallenge