Any symmetry?

Algebra Level 3

The equation (x2+3x+4)2+3(x2+3x+4)+4=x{ ({ x }^{ 2 }+3x+4) }^{ 2 }+3({ { x }^{ 2 }+3x+4) }+4=x has __________\text{\_\_\_\_\_\_\_\_\_\_} .

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