The fractional equation 3A + 1 x + 1 = a has no solution

The fractional equation 3A + 1 x + 1 = a has no solution

If the original fractional equation has no solution, it can be divided into two cases: ① when a = 0, the equation AX = 2A + 1 has no solution, so the fractional equation 3A + 1x + 1 = a has no solution; ② when a ≠ 0, the equation AX = 2A + 1, X = 2A + 1a, when the denominator x + 1 = 0, that is, x = - 1, the original fractional equation has no solution