DirectX 9.0 compatible graphics adapter is...
A DirectX 9.0 compatible graphics adapter is a graphics card or video card that you need to purchase and install in your computer. It is something you have to buy, it's a physical piece of equipment that goes inside of the computer. You can buy one online or at your local computer store. The store might charge extra to install it, but if you know someone who is good with computers ask them do do it, it only takes 5-10 minutes to get it installed and working.
Remember, you can't just buy any graphics card, you need to make sure you get one that is compatible with your computer.
"are you sure you want to quit installation?" I have also gotten this error. Haven't found a fix yet.