The fractional equation 3 / X-1 / (x + 1) + (x + a) / X (x + 1) = 0 has no solution Come on, now

The fractional equation 3 / X-1 / (x + 1) + (x + a) / X (x + 1) = 0 has no solution Come on, now

Multiply x (x + 1) on both sides of the equation to get
3(x+1)-x+x+a=0
The solution is x = - (a + 3) / 3
Because the fractional equation 3 / X-1 / (x + 1) + (x + a) / X (x + 1) = 0 has no solution
So x (x + 1) = 0
X = 0 or x = - 1
So - (a + 3) / 3 = 0 or - (a + 3) / 3 = - 1
So a = - 3 or a = 0