The equation of the plane which bisects the angle between the planes $3x-6y+2z+5=0\text{ and }4x-12y+3z-3=0$ which contains the origin is.

Equation of plane bisecting the angle containing origin is (making constant term of same sign)

$\frac{-3x+6y-2z-5}{\sqrt{3^2+6^2+2^2}}=+\left[\frac{4x-12y+3z-3}{\sqrt{4^2+{12}^2+3^2}}\right]$

or $\frac{-3x+6y-2z-5}{7}=\frac{4x-12y+3z-3}{13}$

or $67x-162y+47z+44=0$.