Which "A" fits?

Algebra Level 3

2 x + 2 ( x + a ) 2 9 = x 2 + 2 a x 5 + a 2 2\left | x \right |+2\left | (x+a)^{2}-9 \right |=x^{2}+2ax-5+a^{2}

Find all a a for which the equation above has exactly one solution.

Notation: | \cdot | denotes the absolute value function .

-1 and 1, -2 and 2 0, -1 and 1 -1 and 1, -5 and 5 -1 and 1, -2 and 5 -2 and 2, -5 and 5

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