Do I need to file taxes in two different states? Florida and Georgia

At the beginning of 2020, I moved to Florida, but then I moved to Georgia back in April. During the beginning of 2020, I worked in Florida. Would I need to file a Florida and Georgia Tax Return?

 

The reason I ask is as soon as I enter the Florida W2 on my tax return, I'm having to pay Georgia State Taxes even though I didn't work that job in Georgia- is that the way it works?