Here is the graph showing the market equilibrium based on the demand ($Q_d = 20 - 8P^2$) and supply ($Q_s = 10P^2 + P + 20$) equations. The equilibrium occurs at the point where price ($P$) equals 0, and the quantity ($Q$) is 20.

Would you like further explanations or have any questions about this?

Here are 5 related questions to expand on the topic:

1. How do taxes affect the equilibrium in supply and demand?
2. What happens to the equilibrium if the demand function changes?
3. How do we calculate the new equilibrium after implementing a price ceiling or floor?
4. Can you explain the impact of subsidies on supply and demand equilibrium?
5. What is the significance of elasticities in determining supply and demand?

Tip: Always double-check your demand and supply equations for any economic assumptions, such as diminishing marginal returns or increasing costs.