My car is burning oil, what could be a solution for this problem?

The car is a honda civic si 2008 with 70000 miles?

Replace or rebuild the engine

That could be the rings, worn valve seals or it could be the oil drain holes clogged up under the valve pan!

If it's burning oil, it's drawing your motor oil into the cylinder prior to combustion. It means the rings around your pistons have to much play in them. You need to have the cylinders rebored and reringed. Before you do that though, try one of the additives you can buy for that purpose. You just pour it into the engine and sometimes it works.

This is one of the severe problems in any internal combustion engine. It can be caused due to having large gap between valve and the cylinder block or bad piston rings or bad surface finish of the internal cylinder.
Actually engine oil is not too reform or distilled cruid oil so when it burns it not only harm your engine but also harm the atmosphere.
If you have first or second cause than you don't have to be worry. You will not have to pay more for that. But last problem is severe u if have this then you will have to re-bore your cylinder or you have to change your piston.
And another solution is that you can use some preservatives but it's not a permanent solution

Seems a bit odd at only 70,000

Valve cover gaskets, head gaskets, oil pan gaskets front and or rear main seals in the oil pan loose filter
Bad piston rings result in total rebuild. Specially if your burning it in the exhaust. The head gaskets can leak oil. Have to pull out a spark plug and if its oil soaked. Your out some serious money Then when your done rent a compression tester from auto zone and do all the cylinders, one at a time. Disconnect the coil wire we don't want it to start if you have a major drop in a cylinder OH bummer you have blown piston rings and are looking at 3k to fix

hope it helps
Lr

Check you exhaust smoke. If it is emitting white smoke then you have valve seal or worse a piston ring problem. But if it doesn't check for engine oil leak. Check the Camshaft crankshaft oil seal, valvcover gasket and oil pan gasket.