Soak the peels of two oranges in 1 gallon of water. Leave the peels in for two weeks. To make sure the oil is organic, start with organic oranges, though this is optional. Stir the solution periodically to help release the oil. Use the spoon to flatten the peels against the side of the container when you stir.
Mince one clove of garlic and one medium onion. Be sure to use organic garlic and onion if you want to keep the final solution organic. Soak in 1 quart of warm water for an hour, then add 1 teaspoon of organic cayenne pepper powder and stir well to create a garlic and pepper tea base for the insecticide. This helps to strengthen the effectiveness of the orange oil and will kill the aphids more quickly than orange oil alone.
Mix 2 ounces of orange oil with 1 gallon of water and 1 quart of garlic and pepper tea. Strain out the solids and pour the mixture into a spray bottle.
Spray directly onto the aphids to kill them. This will only kill insects that it touches, so repeat spraying will be necessary whenever you see the pests on your plants.