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This is a quadratic equation in three variables x, y, and z. To solve this equation, we need to simplify it as much as possible.

Given equation: x^2 - 2xz + 4xy + 4y^2 - 4yz + z^2 + √x + y - z + |x + 2| = 0

Since the equation involves absolute value and square root, it is not possible to simplify it further without knowing the specific values of x, y, and z.

If you have specific values for x, y, and z, you can substitute them into the equation to solve for the unknowns. Otherwise, this equation represents a surface in 3D space and can be graphed to visualize the solutions.