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It looks like you've uploaded a mathematical expression from a screen. The equation shown is:

\[ P(-x) = 3(-x) + 4 - 7(-x)^2 + 9 \]

Let's solve and simplify this equation:

1. Substitute \(-x\) for \(x\) and simplify the terms:
\[ P(-x) = 3(-x) + 4 - 7(-x)^2 + 9 \]
\[ P(-x) = -3x + 4 - 7x^2 + 9 \]

2. Combine like terms:
\[ P(-x) = -7x^2 - 3x + 13 \]

This expression represents the polynomial \(P(-x)\) in terms of \(x\).

Would you like to know more about this function or how it might behave graphically? Or perhaps you have another question? Let me know!

Here are some related questions you might consider:
1. What is the graph of this function?
2. How does \( P(-x) \) compare to \( P(x) \) in terms of symmetry?
3. What are the roots of the equation \( P(-x) = 0 \)?
4. How can we determine the vertex of this quadratic function?
5. What is the axis of symmetry for this function?

**Tip:** When evaluating polynomials, substituting \(-x\) in place of \(x\) can help in examining the even or odd nature of the polynomial.

This page provides a detailed solution to the polynomial equation P(-x) = 3(-x)^4 - 7(-x)^2 + 9, covering core algebraic concepts such as polynomials, even and odd functions, and how to simplify expressions by substitution.

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