a+x=1+xa^2 rearrange as
a^2x - x = a - 1
x (a^2 - 1) = (a - 1)
x ( a + 1) (a - 1) = (a - 1) divide both sides by (a - 1)
x ( a + 1) = 1 divide both sides by (a + 1)
x = 1 / ( a + 1)
This will have no solution when a = -1 [ since we cannot divide by 0 ]
