c = 84 / (25ab-84b-84) ; a,b,c <>0
if a, b, c are real number there are many solutions and a , b , c must not be zero.
if c is integer then 25ab-84b-84 should be the member of {1,-1, 2, -2, 3, -3, 4, -4, 6, -6, 7, -7, 14, -14, 21, -21, 42,-42,84,-84}
so you have 20 case to test
case 1 ...