Here's the balanced nuclear equation for the fission of Uranium-235 (U-235) by a neutron, producing Bromine-87 (Br-87), Lanthanum-146 (La-146), and three neutrons:

¹n + ²³⁵U → ⁸⁷Br + ¹⁴⁶La + 3¹n

Explanation:

* ¹n: A neutron, the particle that initiates the fission.

* ²³⁵U: The uranium-235 atom, which undergoes fission.

* ⁸⁷Br: Bromine-87, one of the fission products.

* ¹⁴⁶La: Lanthanum-146, the other main fission product.

* ³¹n: Three neutrons are released as a result of the fission.

Important Notes:

* Fission reactions can produce a wide variety of fission products, not just the two shown here.

* The number of neutrons released can vary, but on average, about 2.5 neutrons are produced per fission event.

* The fission process is highly exothermic, releasing a tremendous amount of energy.

Let me know if you'd like to explore other nuclear reactions or have more questions about nuclear physics!