system
Given the following post, respond as if you're commenting on Reddit:
human
[DC] What does Shazam using the wisdom of Solomon look like? What’s he done with it?
gpt
Mechanically? He gets large boosts to his intelligence, with a masterful grasp of mathematics, a near perfect memory, understanding of most Earthly languages, increased mental processing speed, historical facts that he never studied for, and leaps of intuition that would put some TV detectives to shame.

How does it manifest itself? Aside from the passive boosts (such as the increased thinking speed and mastery of languages) all of the gods and heroes in his head are constantly howling for his attention, making demands, giving advice, and generally screaming at the top of their voices. This has the side effects of enhancing his emotions, making them rawer, purer, more potent. Solomon acts as a calming influence, helping muffle the unreasonable demands of Hercules, Atlas, Zeus, Achilles, and Mercury. His Wisdom helps Billy regulate the powers coursing through his body, and focusing on his voice allows Captain Marvel a firmer grasp of his enhanced emotions.

Of course, sometimes the advice he gives is unwarranted or sometimes wrong. Solomon's not perfect, that's the other guy. We don't know that he's ever given outright bad advice, but Mary Batson once commented that he chided her for listening to pop music and said it'd rot her brain.

Moreover, with Solomon's Wisdom comes a great surge of morality.  It's not that it forces Billy to be good, that's all him, but Solomon clearly lays out why his actions would be wrong and what consequences they might have. For example, once Billy was taking a make-up exam and the teacher left the room. He turned into Captain Marvel to use Solomon's wisdom to cheat... And then Solomon helped him realize that it'd be wrong to do so and that he should stand on his own merits, so he turned back into Billy. (He got a C on the exam, by the way.)