The equation shown in the image is:

$4x^3 + x^2 + 4x$

This is a cubic polynomial equation in terms of $x$. Would you like help with factoring, solving, or understanding the behavior of this equation?

Let me know if you'd like to explore specific aspects!

Here are some related questions for you:

1. What are the possible ways to factor the given cubic equation?
2. How can we solve this cubic equation for real roots?
3. What does the graph of the polynomial look like?
4. How do we determine the behavior of the function at extreme values of $x$?
5. What is the discriminant of this cubic equation?

Tip: To factor cubic polynomials, you can try looking for common factors or use methods like synthetic division!