Solve the Equation by Making an Appropriate Substitution $$( 8 x + 8 ) ^ { 2 } + 12 ( 8 x + 8 ) + 32 = 0$$

question 331

Multiple Choice

Solve the equation by making an appropriate substitution.
- $$( 8 x + 8 ) ^ { 2 } + 12 ( 8 x + 8 ) + 32 = 0$$

• A) \(\left\{ - 2 , - 1 \frac { 1 } { 2 } \right\}\)
• B) \(\{ - 8 , - 4 \}\)
• C) \(\left\{ 0 , \frac { 1 } { 2 } \right\}\)
• D) \(\left\{ 2,1 \frac { 1 } { 2 } \right\}\)

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Definitions:

Market Interest Rate

The prevailing rate of interest that borrowers and lenders can expect to transact at in the broader financial market, influenced by supply and demand.

Contractual Interest Rate

The rate of interest agreed upon within the terms of a loan or bond agreement, payable to lenders or bondholders.

Premium on Bonds Payable

The extra amount over the face value that investors are willing to pay for a bond, reflecting better interest or lower risk.

Debit Balance

A situation in an account where the sum of debits exceeds the sum of credits, indicating assets or expenses.