Part 5/5:
Here, (p) and (q) comprise the collective linear and constant outcomes of our rearranged equation, capturing the essence of our cubic function in a quadratic-like format, which can be solved using familiar quadratic techniques.
Conclusion
The PQ substitution method is a powerful tool for transforming cubic equations into simpler forms that can be tackled using established quadratic formulas. This method, while requiring precision through variable substitution and polynomial expansion, culminates in a streamlined process, allowing easier solutions to otherwise complex cubic equations. By mastering this technique, one can gain significant advantages in understanding and solving the realm of cubic functions.