https://file.aiquickdraw.com/mathbot/file/17255335228839nxndfwu.jpg

The equation shown in the image is:

\[
25 = 10x - x^2
\]

Let's solve this quadratic equation by rearranging all terms to one side, putting it in standard form:

\[
x^2 - 10x + 25 = 0
\]

Now, this equation can be factored or solved using the quadratic formula. Let’s attempt to factor it first:

\[
(x - 5)^2 = 0
\]

Thus, the solution is:

\[
x = 5
\]

Would you like a more detailed breakdown, or do you have further questions on this? Here are 5 related questions for deeper understanding:

1. What are the general steps to solve a quadratic equation?
2. How does completing the square work for solving quadratic equations?
3. What are the characteristics of quadratic equations with double roots?
4. How can the quadratic formula be applied to solve this equation?
5. What are some real-world applications of quadratic equations?

**Tip:** Quadratic equations can have one solution, two solutions, or no real solution depending on the discriminant.

This page explains how to solve the quadratic equation 25 = 10x - x^2. Learn the step-by-step process for factoring and solving this equation, suitable for students in Grades 8-10.

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