To solve the equation 2Cos(3/10x) - 3Sin(1/2x) = 0, it is suggested to use a graphing calculator, particularly a TI-83 Plus or TI-89 Titanium. The discussion emphasizes the importance of identifying the interval for the solution, noting that there is likely only one root within the specified range. Users are guided through the process of graphing the function and using the calculator's zero-finding features to approximate the solution. The conversation highlights the necessity of providing context and details in initial queries for better assistance. Ultimately, the solution is expected to be presented in decimal form.