If you cast a spell "without paying its mana cost", you can't choose to cast it for any alternative costs. You can, however, pay additional costs. If the spell has any mandatory additional costs, you must pay those to cast it.
Trumpeting Carnosaur
If the discovered card has {X} in its mana cost, you must choose 0 as the value of X when casting it without paying its mana cost.
If you can't cast the discovered card (perhaps because there are no legal targets for the spell), you'll put it into your hand.
Magic: The Gathering · ™ & © Wizards of the Coast · Illus. Lars Grant-West
Card data via Scryfall. Rarix is fan-made; not endorsed by the rights holders.
