To make a zucchini walnut carrot cake, you'll need: Zucchini, walnuts, sugar, butter, eggs, vanilla extract, flour, baking powder, cinnamon, nutmeg, salt, and baking soda. Preheat the oven to 350?F (180?C) and grease and flour two 8-inch round cake pans. In another large mixing bowl, combine the dry ingredients. Add the zucchini mixture to the wet ingredients and stir to combine. Pour the batter into the prepared pan and bake in the preheated oven for 30 to 35 minutes, or until the cake tester comes out clean. Serve warm or at room temperature.