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there is no equilirium point at all in your dive.
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Sure there is blackberry, you just have not reached it yet.
Your equilibrium point velocity is found by converting the Vmax TAS to EAS. We are going to change altitude and we don't have to constantly mess with density effects.
Now we can use the relationship our parasitic drag component to find our new velocity. You already know the Cdo of the design.
So using the relationship of parasitic drag force and velocity:
Dp2 = Dp1(V2/V1)^2
Re-arrange to solve for velocity:
At 100 KEAS our airplane produces 5000 lbs of parasitic drag. At what velocity will it produce 10000lbs of parasitic drag?
100 KEAS * SQRT(10000 / 5000) = 141 KEAS
If we suddenly gained 5000lbs of thrust (5000lbs plus 5000 lbs) our new equilbrium velocity would be 141 KEAS.