(x-2y+z)(x+2y+z)=

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


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

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

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

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

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

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

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

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

Solving
2xz + x2 + -4y2 + z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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