To evaluate the function $f(x) = 2x^2 + 7x + 5$ at $x = 0$, substitute $x = 0$ into the function:

$f(0) = 2(0)^2 + 7(0) + 5$

Simplifying the expression:

$f(0) = 2(0) + 0 + 5 = 5$

So, $f(0) = 5$.

Would you like more details or have any questions?

Here are some related questions you might consider:

1. What is $f(1)$ for the same function?
2. How does the function $f(x)$ behave as $x$ increases?
3. What are the roots of the function $f(x) = 0$?
4. How would the graph of $f(x)$ look like?
5. What is the vertex of the parabola represented by $f(x)$?

Tip: When evaluating a function at a specific point, always substitute the value directly into the function and simplify carefully.