Let P be the point of intersection of the line \( \dfrac{x+3}{3}=\dfrac{y+2}{1}=\dfrac{1-z}{2} \) and the plane \( x+y+z=2 \). If the distance of the point P from the plane \( 3x-4y+12z=32 \) is \( q \), then \( q \) and \( 2q \) are the roots of the equation.
