Solve the Given Exponential Equation $$5 ^ { 2 x } + 5 ( x + 1 ) - 24 = 0$$

Multiple Choice

Solve the given exponential equation. Round answer to three decimal places.
- $$5 ^ { 2 x } + 5 ( x + 1 ) - 24 = 0$$

A) $\{ 0.683 \}$
B) $\{ 1.147 \}$
C) $\{ 1.099 \}$
D) $\{ 1.292 \}$