Breakdown of Spererei di risolvere il problema.
il problema
problem
sperare
to hope
risolvere
to resolve
di
to (linking a verb to a following infinitive)
Questions & Answers about Spererei di risolvere il problema.
Why do we use di risolvere here instead of che and the subjunctive?
When the subject of the main verb (spererei, I would hope) is the same as the subject of the second verb (I solve), Italian replaces che + subjunctive with di + infinitive. So instead of saying "I would hope that I solve", you say "I would hope to solve".
Could I still say Spererei che io risolva il problema if I wanted to?
You shouldn't. While people might understand you, it sounds very clunky and unnatural to a native speaker. When the subjects match, using di + infinitive is highly preferred and usually strictly required.
Why is the verb spererei in the conditional tense instead of the present tense spero?
Spererei translates to "I would hope." Using the conditional tense softens the statement, making it sound more polite, cautious, or hypothetical than the direct spero (I hope).