Is carbon capture really a practical solution to CO2 emissions?

I’ve just watched this video about carbon capture.

And I found it pretty interesting. However, looking at the youtube comments, some common themes were either “why not just plant trees” or “where is all the energy going to come from” .

Regarding the first point, my understanding is that you would need to plant a ridiculous number of trees to offset our current usage. According to this discussion on the earth science stack exchange, we would need to plant more trees than there is available space.

Regarding the question of where the energy comes from, I suppose it could come from renewables but we are going to have enough trouble generating enough renewable power to fulfil our current needs, let alone energy-intensive carbon capture.

Anyway, I know nothing about these things so I’m hoping that you all might be able to set me straight.