Are there formulas in those cells giving answers or FALSE? I hope so.

When the formulas in those cells return values, are they numeric? I hope so.

First..change your formula so that it doesn't return FALSE, but returns an actual TEXT string like "FALSE" or "No".

Then you can use a special-select method to select all the text cells at once.

1) Highlight the range
2) Press F5 and click on Special
3) Select Formulas > Text only
4) Click OK

Now all the "FALSE" or "No" cells are highlighted.

5) Click on Edit > Delete

Those steps can be recorded into a macro very easily if the values in the range are such that you can use this technique.