(x+2y+4z)(x+2y+4z)=0

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Solution for (x+2y+4z)(x+2y+4z)=0 equation:


Simplifying
(x + 2y + 4z)(x + 2y + 4z) = 0

Multiply (x + 2y + 4z) * (x + 2y + 4z)
(x(x + 2y + 4z) + 2y * (x + 2y + 4z) + 4z * (x + 2y + 4z)) = 0
((x * x + 2y * x + 4z * x) + 2y * (x + 2y + 4z) + 4z * (x + 2y + 4z)) = 0

Reorder the terms:
((2xy + 4xz + x2) + 2y * (x + 2y + 4z) + 4z * (x + 2y + 4z)) = 0
((2xy + 4xz + x2) + 2y * (x + 2y + 4z) + 4z * (x + 2y + 4z)) = 0
(2xy + 4xz + x2 + (x * 2y + 2y * 2y + 4z * 2y) + 4z * (x + 2y + 4z)) = 0

Reorder the terms:
(2xy + 4xz + x2 + (2xy + 8yz + 4y2) + 4z * (x + 2y + 4z)) = 0
(2xy + 4xz + x2 + (2xy + 8yz + 4y2) + 4z * (x + 2y + 4z)) = 0
(2xy + 4xz + x2 + 2xy + 8yz + 4y2 + (x * 4z + 2y * 4z + 4z * 4z)) = 0
(2xy + 4xz + x2 + 2xy + 8yz + 4y2 + (4xz + 8yz + 16z2)) = 0

Reorder the terms:
(2xy + 2xy + 4xz + 4xz + x2 + 8yz + 8yz + 4y2 + 16z2) = 0

Combine like terms: 2xy + 2xy = 4xy
(4xy + 4xz + 4xz + x2 + 8yz + 8yz + 4y2 + 16z2) = 0

Combine like terms: 4xz + 4xz = 8xz
(4xy + 8xz + x2 + 8yz + 8yz + 4y2 + 16z2) = 0

Combine like terms: 8yz + 8yz = 16yz
(4xy + 8xz + x2 + 16yz + 4y2 + 16z2) = 0

Solving
4xy + 8xz + x2 + 16yz + 4y2 + 16z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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