You have nodules (mass) on both sides of your thyroid which is common. Solid & Cold Nodules call for concern because there is a 5% chance that it could be cancerous. Cold meaning: Do not take up radioactive iodine. You are going to be referred to a Encronologist if not already to have a Fine Needle Biopsy (FNA) of the nodules. Once the results are in, your doc will tell you what should be done. In my case, I have a multinodular Goiter on the right and left side. The biggest being 3.7CM (solid and cold). Although my last biopsy came back benign, I have been recommended to have a Total Thyroidectomy because a fna does not always confirm if the nodules are cancerous. I also had a recent fna in which i have to discuss with my doc. My suggestion to you is to find a Endocrinologist or a doc who specializes in the Thyroid in whom you are comfortable with and ask as many questions as you can think of. Do your own research via internet, books, etc. There are many people here who can also share their experiences, which are very helpful. Hope all goes well.
Venus, below is a website URL with a good nodule article. I just had my nodules biopsied (Fine Needle Aspiration) a few months ago. It was very easy and less painful than a dental visit. The doc is going to thoroughly check that cold solid nodule to make sure it's not cancer. Large cold nodules are always red-flagged.
If it is cancer, the good news is that thyroid cancer has a VERY, VERY high cure rate. Try not to stress about it, or you will make yourself feel worse. My mom had a large, rapidly growing cold nodule (about 7 mm), along with her right thyroid, removed 13 years ago. It was benign. She's still with us and running on all cylinders at age 75.
Here's that nodule website:
http://www.endocrineweb.com/fna.html
'85% of thyroid nodules are cold, 10% are warm, and 5% are hot. Remember that 85% of cold nodules are benign, 90% of warm nodules are benign, and 95% of hot nodules are benign.'