Rehearing and review of prior decisions. Upon motion initiated by any member and adopted by the unanimous vote of the members present, but not less than a majority of all the members, the Zoning Board of Appeals shall review, at a rehearing held upon notice given as upon an original hearing, any order, decision, or determination of the Zoning Board of Appeals not previously reviewed. Upon such rehearing, and provided it shall then appear that the rights vested prior thereto in persons acting in good faith in reliance upon the order, decision, or determination reviewed will not be prejudiced thereby, the Zoning Board of Appeals may, upon the concurring vote of all the members then present, reverse, modify, or annul its original order, decision, or determination.