Solve the Equation by Factoring $$- 6 x - 2 = ( 3 x + 1 ) ^ { 2 }$$

question 302

Multiple Choice

Solve the equation by factoring.
- $$- 6 x - 2 = ( 3 x + 1 ) ^ { 2 }$$

• A) \(\left\{ - 1 , - \frac { 1 } { 3 } \right\}\)
• B) \(\left\{ - \frac { 1 } { 3 } \right\}\)
• C) \(\left\{ \frac { 1 } { 3 } , 1 \right\}\)
• D) \(\varnothing\)

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Definitions:

Price-Leadership Model

A market situation where one dominant company sets the price of goods or services within an industry and other companies follow suit.

Nash Equilibrium

In game theory, the result of all players’ playing their best strategy given what their competitors are doing.

Maximin Strategy

A decision rule used in situations of uncertainty to maximize the minimum gain or to minimize the maximum loss.

Equilibrium

A state in a market or economy where supply equals demand, resulting in stable prices and quantities.