Let the equation of two adjacent sides of a parallelogram \( ABCD \) be \( 2x - 3y = -23 \) and \( 5x + 4y = 23 \). If the equation of its one diagonal \( AC \) is \( 3x + 7y = 23 \) and the distance of \( A \) from the other diagonal is \( d \), then \( 50\,d^2 \) is equal to \( \_\_\_\_\_ \).
