Nitro , in this case position still loses around 150k .
For one that trades future vols increase on daily bases , I'm very interested to see how others traders can solve this equation without rate of speed ( info , which OP choose to ignore when I asked him).
You can't construct a passive position which maintains neutral gammas. There is nothing to solve algebraically; you can't isolate vega without a continuous hedge.
IV: dgamma/dspot isn't necessary. The OP is looking for something that doesn't exist.