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Goodwill and Intangible Assets
6 Months Ended
Jun. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
Goodwill

As of June 30, 2021 and December 31, 2020, we had no goodwill. The cumulative impairment loss for goodwill was $239 million, all of which was fully impaired in the first half of 2020.

During 2020, based on our interim goodwill impairment assessments that determined the fair value of our reporting units were less than their carrying values, we recognized goodwill impairment charges presented in “Note 2 – Impairments and Other Charges (Credits), Net.” We identified impairment indicators as discussed in “Note 5 – Long-lived Asset Impairments” that triggered these interim quantitative goodwill assessments. The fair values of our reporting units were determined using a combination of the income approach and the market approach for comparable companies in our industry, a Level 3 fair value analysis. Determining the fair value of the reporting units requires management to develop significant judgments, including estimating and discounting future cash flows by reporting unit, specifically forecasted revenue, forecasted operating margins and discount rates. See goodwill impairment charges presented in “Note 2 – Impairments and Other Charges (Credits), Net.”

Intangible Assets

The components of definite-lived intangible assets, net of accumulated amortization, were as follows:
(Dollars in millions)
6/30/2021
12/31/2020
Developed and Acquired Technology, Net of Accumulated Amortization of $190 at June 30, 2021 and $132 at December 31, 2020
$400 $456 
Trade Names, Net of Accumulated Amortization of $61 at June 30, 2021 and $41 at December 31, 2020
334 354 
Intangible Assets, Net of Accumulated Amortization of $251 at June 30, 2021 and $173 at December 31, 2020
$734 $810 
Amortization expense was $39 million and $78 million in the three and six months ended June 30, 2021, respectively, and $40 million and $86 million in the three and six months ended June 30, 2020, respectively, and is reported in “Selling, General and Administrative” on our Condensed Consolidated Statements of Operations.