LMN Company purchased another company on January 1, 2015, resulting in the recording of goodwill of $2,000,000 and a patent valued at $120,000. The patent has a remaining life of 10 years. At December 31, 2015, it was determined that an impairment in the value of the goodwill of $500,000 had occurred. 1. Prepare any necessary journal entries affecting the goodwill and patent accounts at December 31, 2015.