# Separate ContourPlot3D generated planes

I use

ContourPlot3D[
-7 - 12 x + 32 x^2 + 54 y - 28 x y - 67 y^2 + 16 z + 88 x z -
136 y z + 28 z^2 == 0,
{x, -2, 2},
{y, -2, 2},
{z, -2, 2}]


get this

You can see that the two faces are staggered, and I want to separate them，likethis

z /. Solve[-7 - 12 x + 32 x^2 + 54 y - 28 x y - 67 y^2 + 16 z +

$$\left\{\frac{1}{14} \left(-\sqrt{65} (2 x-5 y+1)-22 x+34 y-4\right),\frac{1}{14} \left(\sqrt{65} (2 x-5 y+1)-22 x+34 y-4\right)\right\}$$