How to solve a problem?

The basic problem solving techniqes include

Understanding the problem

The problem needs to be understood well by engaging in group discussion. Get help from the instructor and the Teaching Assistants/Outstanding Students as you need them.

Critical analysis

There are often more than one way to solve a problem. The group assignment must show combined thinking and high level of analysis. Therefore, even when you split up the tasks among the group members, the report needs to be coherent.

The scope needs to be well defined within the context of the course and assignment duration. The solution criterion needs to be defined before delving into analyzing/developing criterion.

Decision Making

There are often conflicting arguments for a particular solution. Therefore your analysis and solution often needs evidences to persuade the audience. This could be done using tools like Brainstorming, Trend Charts, Five Why’s, Story Boards, Scatter Diagrams, Surveys, Check Sheets, Histograms, Fail-Safing, Pareto diagrams, Fishbone Diagrams, and Flowcharts.

Use a Methodology

The solution you recommend needs to be in the context of real world situation. Cycle through problem solving steps as necessary to ensure a high quality output.
There are various methods for problem solving. Though all the methods are similar, some might be advantages for a particular scenario compared to others.
Review the PDCA or the Grow Model methodology and other ones as appropriate.