The engineering method is a systematic 6-step approach used to solve problems: 1) Idea - defining the problem, validating value, and identifying customers; 2) Concept - generating models to meet customer needs; 3) Planning - defining implementation plans; 4) Design - translating requirements into specifications; 5) Development - creating prototypes through iterative testing and debugging; 6) Launch - releasing the design for production after testing is complete. The process is iterative, with testing occurring throughout development to refine designs until customer expectations are met.