Solve the Equation $- 6 x ^ { 2 } - 4 x - 17 = x - 9$

Solve the equation.
- $- 6 x ^ { 2 } - 4 x - 17 = x - 9$

A) $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 }$
B) $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 24 } \mathrm { i }$
C) $\frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$
D) $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$

Correct Answer:

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