I see you've uploaded an image of some mathematical work. Let me examine the content.

The image contains a sequence of algebraic manipulations, solving a polynomial equation. Here's a breakdown:

• The work seems to involve simplifying and solving a cubic equation for $x$. It looks like a cubic polynomial, possibly of the form:

  $5x^3 - 4x^2 + 3x - 7$

  is being simplified, then further terms are reduced or canceled out, likely leading to a factored form.

• Toward the right side, there is a fraction $\frac{b}{2} = \frac{24}{5}$, which seems to be part of solving the equation using substitution or factoring.

• Then, $x = \frac{b}{a}$ is derived, possibly after dividing or simplifying terms in the equation.

Could you confirm what specific part you would like assistance with (e.g., factoring, solving for roots, etc.)? Or if you'd like, I can try to reconstruct the full solution step-by-step.

Would you like a more detailed explanation of the process?

Here are some related questions to further your understanding:

1. What methods do you use to factor cubic equations?
2. How do you identify rational roots in a polynomial equation?
3. What role does synthetic division play in solving cubic equations?
4. How does the quadratic formula extend to higher-degree polynomials?
5. What does the discriminant tell you about the number of real solutions in a polynomial?

Tip: When dealing with polynomials, always check for possible factoring or simplifications to reduce the degree of the equation before solving!