https://file.aiquickdraw.com/mathbot/file/172846197677881zrul86.jpg

The expression in the image is:

\[
-16r^2 + 4r
\]

This is a simplified expression, not an equation to solve, but you can factor it to simplify further.

### Factoring the expression:

\[
-16r^2 + 4r
\]

We can factor out the common factor, which is \( 4r \):

\[
4r(-4r + 1)
\]

So, the factored form of the expression is:

\[
4r(1 - 4r)
\]

This is the simplest form of the expression. If you meant to do something else with it (like solving for \(r\) if it equals zero), let me know!

Do you need further details or have any questions?

Here are five related questions:
1. What if you set this expression equal to zero and solve for \(r\)?
2. How would the expression change if there were additional terms?
3. Can you graph the expression \( -16r^2 + 4r \)? What does its graph look like?
4. What happens if we differentiate the expression with respect to \(r\)?
5. What if you substitute a specific value for \(r\) into the expression?

**Tip:** Always check for common factors when simplifying expressions, as factoring can often make solving easier!

Learn how to factor the polynomial expression -16r^2 + 4r. This problem covers key algebraic concepts such as polynomials and factoring. Suitable for students in Grades 7-9, this detailed solution simplifies the expression using the distributive property and explains step-by-step how to factor out the common terms.

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