Short Answer 
A split infinitive is when an adverb or phrase is placed between “to” and the verb, which can sometimes hinder clarity in writing. It’s best to avoid splitting infinitives when the sentence is already clear, sounds awkward, or has too much information inserted. Simplifying sentences enhances clarity and ensures effective communication.
Step 1: Understand What a Split Infinitive Is
A split infinitive occurs when an adverb or phrase is placed between “to” and the verb in an infinitive. This means that instead of saying “to solve,” you might say “to definitely solve”. An example of a split infinitive is: “I would like to definitely and rapidly solve this problem.” Recognizing this construction is crucial for clearer writing.
Step 2: Know When to Avoid Splitting an Infinitive
There are specific instances when splitting an infinitive may not be advisable. You should consider avoiding it when:
- the sentence is already clear, making the split unnecessary;
- the sentence sounds awkward or clumsy with the split;
- too much information is inserted between the “to” and the verb, hindering clarity.
Step 3: Simplify Your Sentences for Clarity
To enhance readability, always strive to keep your sentences straightforward. For instance, the original complicated example can be simplified to: “I would like to solve this problem.” By removing unnecessary elements, you ensure that your message is direct and easily understood, which is key in effective communication.