To find the equation of the line through the origin that divides the area under the curve f(x) = 2x - x² into two equal parts, one must first calculate the total area under the curve above the x-axis. This involves integrating the function from its roots to determine the area. Once the total area is established, the next step is to set up an equation for the line that will bisect this area. Participants are encouraged to share their progress and seek guidance if they encounter difficulties. Engaging with similar problems can provide valuable insights into solving this challenge effectively.