Deploying a SolidJS application on Netlify involves three main methods: drag-and-drop deploy, Netlify CLI deploy, and manual deployment from Git. The drag-and-drop method allows for easy deployment without a git repository, while the Netlify CLI provides a more automated experience with commands to configure, build, test, and deploy sites. Manual deployment from Git also offers an option to import an existing project or start from a template, with options to customize settings such as functions directories and netlify.toml configuration files. Each method has its own set of steps and benefits, allowing developers to choose the approach that best suits their needs.