MT35 Flamethrower is the weaker but more effective brother of Fire Blast in Pokemon Brilliant Diamond and Shining Pearl, but is still vital in the arsenal of attacks of any type of fire. Here's where to find it.
You'll find the MT35 Flamethrower in Pietravela, east of Solaceon Town and north of Pastoria City. Take a look at the map below to get the correct location. You may have to fight a group of Ponyta on Route 215 to reach it as they spawn frequently in the area.
Once you've found the Rocky City, find the Pokémon Center and then go northwest from that location. You will be greeted by a tall yellow and green building. A charming woman in a white hat and a pink bow tie is out and about in the area. She enters and runs to the elevator at the top right. Tell the employee to go up to the third floor. Sprint to the cashier in the lower left of the room. She will be facing the camera.
From this menu, you will see TM35 Flamethrower under Focus Blast. It is slightly cheaper than Fire Blast for $ 3000. Earn enough money to buy it and then it will be added to your purse. Be careful how you use it, however, as you only have one TM from this purchase to use. We used it with our Ponyta, but it will work with many other Fire-type Pokémon, as well as a fighting-type like Machoke.
It might be weaker than Fire Blast, but you have to keep in mind that this move has a higher PP of 10 and better Accuracy. It might be more useful to use Flamethrower instead.