Find the Exact Solution of the Equation $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

Multiple Choice

Find the exact solution of the equation.
- $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

A) $x = - \frac { \sqrt { 2 } } { 8 }$
B) $x = \frac { \sqrt { 2 } } { 8 }$
C) $x = - \frac { \sqrt { 2 } } { 2 }$
D) $x = 0$