Why is it impossible for carnivores to eat plants?

Because carnivores only eat meat.  Or as the dictionary says, "carnivores feed on flesh" Flesh is meat. Not plants.

If a carnivore did eat plants instead of meat, then they'd be an herbivore.
If a carnivore ate plants and meat, they'd be an omnivore.

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Hello we have the same names lol.biology is the study of living beings , that is, all plants and animals including humans.