First, try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation using the quadratic formula. (Enter your answers as a comma-separated list. If the solution is not a real number, enter NOT REAL.)

\[ 3y^2 = 8y + 16 \]

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In 2006, 62.7 million people subscribed to cable television. In 2013, that number had decreased to 51.7 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.

The percent decrease in cable TV subscribers from 2006 to 2013 is 17.5%. This is derived by subtracting the final number of subscribers in 2013 from the initial number in 2006, dividing this difference by the initial number, and then multiplying by 100.

Explanation:

The subject of this question is Mathematics, specifically solving for the percentage decrease. To find the percent decrease in the number of cable TV subscribers from 2006 to 2013, subtract the final number of subscribers in 2013 from the initial number in 2006. Then, divide this difference by the initial number and multiply by 100. In this case:

1. Initial number of subscribers in 2006 was 62.7 million
2. Final number of subscribers in 2013 was 51.7 million
3. Calculate the change in subscribers: 62.7 - 51.7 = 11 million
4. Now, divide this 11 million by the original 2006 subscriber number, 62.7 million, to get a decimal: 11/62.7 = 0.175277
5. Next, multiply 0.175277 (result from step 4) by 100 to get the percentage decrease: 0.175277 x 100 = 17.5277
6. And finally, round to the nearest tenth of a percent to get: 17.5% decrease in cable TV subscribers from 2006 to 2013.

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