Find All Real Numbers X That Satisfy the Given Equation $\left( \frac { 1 } { 27 } \right) ^ { x - 1 } = 3 ^ { 3 - 2 x ^ { 2 } }$

Find all real numbers x that satisfy the given equation. $\left( \frac { 1 } { 27 } \right) ^ { x - 1 } = 3 ^ { 3 - 2 x ^ { 2 } }$