Final answer:
The information provided in the question contains typographical errors and does not directly relate to solving for variables in the context of a parallelogram. Without the correct equations or proper context, the values for x and y cannot be determined.
Step-by-step explanation:
The initial equation provided in the question seems to have typographical errors and doesn't help to solve directly for x and y in the context of a parallelogram. In a parallelogram PQR, opposite sides are equal, which can help us determine the values of x and y. It appears that the values given within the parentheses are meant to represent the lengths of the sides of the parallelogram. If the length of one side is given by the expression m^2x - 343 and the other side is 21744 - 6, setting these equal to each other as we would for a parallelogram's opposite sides, yields no sensible solution.
Without a clearer context or a more relevant equation, we cannot accurately determine the values of x and y. Furthermore, the random snippets of equations and figures in the provided reference information do not pertain to solving a question about parallelograms in geometry.