What is the largest number $c$ such that $2x^2+5x+c=0$ has at least one real solution? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the largest number $c$ such that $2x^2+5x+c=0$ has at least one real solution? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{25}{8}
What is the largest number $c$ such that $2x^2+5x+c=0$ has at least one real solution? Express your answer as a common fraction.
train