When practical difficulties, unnecessary hardships, or results inconsistent with the general intent and purpose of this chapter occur by reason of the strict interpretation and enforcement of any of its provisions, the Board of Adjustment, upon its own motion, may, or upon the application of any interested person shall, initiate proceedings for consideration of the granting of a variance from the provisions of this chapter under such conditions as may be deemed necessary to assure that the intent and purpose of this chapter will be observed and that the health, safety, and welfare of the community be secured, and that substantial justice be done, not only to the applicant, but to the persons other than the applicant, who might be affected by such variance but subject to the other provisions of this chapter, particularly §
450-63, below.