In this case, we can see that 27 and 12 are both divisible by 3, so we'll separate that out:27x2 - 12 = 3(9x2 - 4) To use this method you should be able to take the square root of the terms evenly. (Notice that we'll have left out the negative signs - since these numbers are squares they may be products of positive or two negative numbers)9x2 = 3x * 3x and 4 = 2 * 2 We'll take the a and c values from our step above - a = 9 and c = 4, then find their square roots - a = 3 and c = 2. These are the coefficients for the factor expressions:27x2 - 12 = 3(9x2 - 4) = 3(3x + 2)(3x - 2)

Summary: Factor out a greatest common factor if possible. Identify if your equation's coefficients are square numbers. Using the square roots you have identified, write out the factors.

Radiation therapy uses radiation (usually x-rays) to damage the DNA in cancer cells. Radiation therapy is recommended for pituitary-dependent Cushing's disease, when the tumor has become so large that it's pressing on the brain and causing neurologic signs (seizures). Fortunately, radiation therapy is very effective at treating pituitary tumors. If your dog has radiation therapy, its symptoms likely won't disappear with treatment. However, because the radiation shrinks the tumor, your dog's neurologic symptoms will improve. Your vet may recommend treatment with trilostane or mitotane for several months after radiation therapy. Iatrogenic Cushing's disease develops when a dog is given corticosteroids for too long. If your dog has this type of Cushing's disease, it will need to stop taking that steroid. However, stopping steroid treatment has to be gradual. Over time, your vet will decrease the steroid dosage until your dog is no longer on the drug. Your vet may want to perform monthly ACTH stimulation tests to determine when to stop the steroid treatment. Eventually, your dog's pituitary and adrenal glands will start working normally again. In some cases of Cushing's disease, the pituitary tumor is so small that it is easier to remove the entire pituitary gland. However, this is a relatively new type of treatment and it may not be right for all dogs. Ask your dog's veterinarian if this is an option for your dog.

Summary: Discuss radiation therapy with your vet. Treat 'iatrogenic' Cushing's disease. Ask about having the whole pituitary gland removed.

Eating fermented foods like sauerkraut and pickles can help increase orexin production. Fermented foods contain lactic acid, and the production of lactic acid can block glucose production, which decreases orexin production. So eating more fermented foods can actually help increase orexin production. When you eat sugar and carbs, your body converts them into glucose. Research suggests that increased glucose levels actually prevent the production of orexin. By eating less sugar and carbs you give your body the chance to produce more orexin, which can potentially increase your energy or promote weight loss. You can reduce your carb intake by staying away from starchy foods like potatoes and carrots, as well as bread and pasta. Stay away from foods that are high in sugar. A lot of processed foods have added sugar, so make sure you check the nutrition facts. Fruit also has a bit of naturally occurring sugar, so you should cut back on those, too. Intermittent fasting during the day can actually make your body producing more orexin. Start fasting for 16-20 hours per day. Then, at the end of each day, eat a large nutritious meal. If intermittent fasting makes you feel worse, go back to your normal eating schedule and look for other dietary changes you can make to increase your orexin levels. If your doctor determines your orexin levels are low, they may prescribe certain medications to help your body increase its production of orexin. If your orexin levels are low because of narcolepsy, your doctor might prescribe 400 mg modafinil per day. Follow your doctor's instructions exactly, because modafinil is a controlled substance and overdosing is easy. Your doctor may also prescribe Orexin-A to help increase your orexin levels. How the drug is administered will depend on your levels, but it will likely be through the nose or in the form of an injection your doctor will give you in the office. Taking omega 3 supplements might help increase orexin levels in people who don't have narcolepsy. You can also try Lactobacillus probiotics, which can increase the production of lactic acid in your body and therefore may increase your orexin levels. You can find medically uncertain or unproven ways to increase orexin levels all over the internet. Most are harmless, but may also be unhelpful. It's always best to consult your doctor first. If you're considering taking omega 3 supplements, talk to your doctor. They can tell you what dosage you should take.

Summary: Consume more fermented foods. Eat less sugar and carbs. Try intermittent fasting to increase your orexin levels. Talk to your doctor about taking medication. Consider other potential ways to increase orexin levels.

Placing your seats near the windows will improve the natural lighting and give your guests a relaxing view. If the room doesn't have any windows, place the seating near lights or an art piece. Creative pieces of furniture can give your guests something to talk about and brighten the mood. If you have a decorative lamp, chair, or artistic sculpture, leave it out somewhere that it will be noticed but not act as an obstruction. Try to accentuate the best features of your room. If you have a high-quality sofa, for example, drape it with a few colorful throw blankets. Coat racks are traditional furniture pieces for parties. If you don't own one, you can either install a coat hanger on the wall or designate a closet for guests to leave their coats. You can also have guests leave their coats and bags on a bed or couch in another room. Refreshments can liven up a party's atmosphere. If you're hosting a small to medium-sized party, arrange a single food table for refreshments. For larger parties, lay out multiple small tables for mini food stations instead. Do not place the food table near the entrance to prevent blocking the door. Use a trolley as a portable refreshments station if your room is too small for a table.
Summary: Arrange your seating near any windows. Leave out a few creative pieces. Make a spot for guests to leave their coats. Add 1 or more tables for food and drinks.