The expression in the image is:

$15x^2 + 30x$

To solve this by factoring, follow these steps:

1. Identify the greatest common factor (GCF):

   • The GCF of $15x^2$ and $30x$ is $15x$.

2. Factor out the GCF:

   • When you factor $15x$ out of both terms, you get: $15x(x + 2)$

So, the factored form of the expression $15x^2 + 30x$ is:

$15x(x + 2)$

Would you like more details, or do you have any questions about this process?

Here are some related questions to expand your understanding:

1. What would be the factored form if the expression was $15x^2 + 45x$?
2. How do you factor a quadratic expression that doesn't have a common factor?
3. What is the next step after factoring when solving a quadratic equation?
4. Can you factor the expression $15x^2 + 30x + 45$? If so, how?
5. What are the roots of the equation $15x^2 + 30x = 0$?

Tip: Always start by identifying the greatest common factor when factoring an expression, as it simplifies the process.