[2y+(3z-x)][2y+(3z-x)]=

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Solution for [2y+(3z-x)][2y+(3z-x)]= equation:


Simplifying
[2y + (3z + -1x)][2y + (3z + -1x)] = 0

Reorder the terms:
[2y + (-1x + 3z)][2y + (3z + -1x)] = 0

Remove parenthesis around (-1x + 3z)
[2y + -1x + 3z][2y + (3z + -1x)] = 0

Reorder the terms:
[-1x + 2y + 3z][2y + (3z + -1x)] = 0

Reorder the terms:
[-1x + 2y + 3z][2y + (-1x + 3z)] = 0

Remove parenthesis around (-1x + 3z)
[-1x + 2y + 3z][2y + -1x + 3z] = 0

Reorder the terms:
[-1x + 2y + 3z][-1x + 2y + 3z] = 0

Multiply [-1x + 2y + 3z] * [-1x + 2y + 3z]
[-1x * [-1x + 2y + 3z] + 2y * [-1x + 2y + 3z] + 3z * [-1x + 2y + 3z]] = 0
[[-1x * -1x + 2y * -1x + 3z * -1x] + 2y * [-1x + 2y + 3z] + 3z * [-1x + 2y + 3z]] = 0

Reorder the terms:
[[-2xy + -3xz + 1x2] + 2y * [-1x + 2y + 3z] + 3z * [-1x + 2y + 3z]] = 0
[[-2xy + -3xz + 1x2] + 2y * [-1x + 2y + 3z] + 3z * [-1x + 2y + 3z]] = 0
[-2xy + -3xz + 1x2 + [-1x * 2y + 2y * 2y + 3z * 2y] + 3z * [-1x + 2y + 3z]] = 0

Reorder the terms:
[-2xy + -3xz + 1x2 + [-2xy + 6yz + 4y2] + 3z * [-1x + 2y + 3z]] = 0
[-2xy + -3xz + 1x2 + [-2xy + 6yz + 4y2] + 3z * [-1x + 2y + 3z]] = 0
[-2xy + -3xz + 1x2 + -2xy + 6yz + 4y2 + [-1x * 3z + 2y * 3z + 3z * 3z]] = 0
[-2xy + -3xz + 1x2 + -2xy + 6yz + 4y2 + [-3xz + 6yz + 9z2]] = 0

Reorder the terms:
[-2xy + -2xy + -3xz + -3xz + 1x2 + 6yz + 6yz + 4y2 + 9z2] = 0

Combine like terms: -2xy + -2xy = -4xy
[-4xy + -3xz + -3xz + 1x2 + 6yz + 6yz + 4y2 + 9z2] = 0

Combine like terms: -3xz + -3xz = -6xz
[-4xy + -6xz + 1x2 + 6yz + 6yz + 4y2 + 9z2] = 0

Combine like terms: 6yz + 6yz = 12yz
[-4xy + -6xz + 1x2 + 12yz + 4y2 + 9z2] = 0

Solving
-4xy + -6xz + 1x2 + 12yz + 4y2 + 9z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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