Adjust your oven rack to the lower third position and preheat your oven to 350°F.
If your pan is not a non-stick pan, line your 8 x 8 baking dish with foil or parchment paper, leaving a little extra hanging over the sides.
Break the baking chocolate into small pieces. Melt the butter with the baking chocolate in a microwave-safe bowl. Heat for 30 seconds and stir. Heat for an additional 30 seconds and stir. If more time is needed to melt the ingredients, then do additional 10 second increments, stirring after each one, until the chocolate mixture is melted and smooth. Let it sit for about 10 minutes to cool a little.
½ cup unsalted butter, 8 ounces semi-sweet baking chocolate
Once the chocolate and butter mixture is slightly cooled, pour it into a large mixing bowl.
Add in the eggs, one at a time, whisking after each one, until they are well blended. Whisk in the vanilla extract. Whisk in the sugar.
3 eggs, 1 teaspoon vanilla extract, 1 cup granulated sugar
Slowly add in the flour and salt. Add a little flour in at a time.
¾ cup all-purpose flour, ½ teaspoon salt
Gently fold in the chocolate chips.Sprinkle some extra chocolate chips over the top of the brownies. (optional) 1 cup semisweet chocolate chips
Pour into the prepared pan and spread it out evenly. Bake 38-40 minutes. The brownies are done when a toothpick comes out clean (a few crumbs are okay).
Cool completely before removing from the pan. Slice into squares. If using foil or parchment paper, lift the brownies out of the pan using the edges of foil/parchment paper. Remove the foil/parchment paper and cut the brownies.
The brownies will stay fresh if stored in an airtight container up to one week.