Take a look at the sentence again:

Defeated, Melody __________ her head on the desk. Even though she had studied until 3 a.m., she could make no sense of the chemistry problems on the exam before her.

Melody put her head on the desk. Thus, you need a form of lay. Since the sentence is past tense, you need the simple past form. Consult the table below or review the rules.

Notice that the form you wanted to use, layed, does not exist on the table. The reason is that layed is a spelling error.

Infinitive Definition Simple Present Simple Past Past Participle Present Participle
to lay to put something down lay(s) laid laid laying
to lie to rest or recline lie(s) lay lain lying

Go to the next sentence.

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