To find \( f(-5) \) given that \( f(x) = 2x^2 + 3x \), we can substitute \(-5\) into the function.
Let's calculate:
\[ f(-5) = 2(-5)^2 + 3(-5) \]
First, compute \((-5)^2\):
\[ (-5)^2 = 25 \]
Now substitute that back into the equation:
\[ f(-5) = 2(25) + 3(-5) = 50 - 15 \]
Now, simplify:
\[ f(-5) = 50 - 15 = 35 \]
Thus,
\[ f(-5) = 35 \]
So the answer is:
\[ \boxed{35} \]