Skip Out The Middle Man

Algebra Level 4

(x2+4x+5)(x2+4x+5)(x2+4x+5)=2016\LARGE( { x }^{ 2 }+4x+5 ) ^{ ( x^{ 2 }+4x+5 ) ^{( x^{ 2 }+4x+5 )} }=2016

Find the sum of all real xx that satisfy the equation above.

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