(2x-y+3z)*(4x+2y-z)=

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Solution for (2x-y+3z)*(4x+2y-z)= equation: 


Simplifying
(2x + -1y + 3z)(4x + 2y + -1z) = 0

Multiply (2x + -1y + 3z) * (4x + 2y + -1z)
(2x * (4x + 2y + -1z) + -1y * (4x + 2y + -1z) + 3z * (4x + 2y + -1z)) = 0
((4x * 2x + 2y * 2x + -1z * 2x) + -1y * (4x + 2y + -1z) + 3z * (4x + 2y + -1z)) = 0

Reorder the terms:
((4xy + -2xz + 8x2) + -1y * (4x + 2y + -1z) + 3z * (4x + 2y + -1z)) = 0
((4xy + -2xz + 8x2) + -1y * (4x + 2y + -1z) + 3z * (4x + 2y + -1z)) = 0
(4xy + -2xz + 8x2 + (4x * -1y + 2y * -1y + -1z * -1y) + 3z * (4x + 2y + -1z)) = 0

Reorder the terms:
(4xy + -2xz + 8x2 + (-4xy + 1yz + -2y2) + 3z * (4x + 2y + -1z)) = 0
(4xy + -2xz + 8x2 + (-4xy + 1yz + -2y2) + 3z * (4x + 2y + -1z)) = 0
(4xy + -2xz + 8x2 + -4xy + 1yz + -2y2 + (4x * 3z + 2y * 3z + -1z * 3z)) = 0
(4xy + -2xz + 8x2 + -4xy + 1yz + -2y2 + (12xz + 6yz + -3z2)) = 0

Reorder the terms:
(4xy + -4xy + -2xz + 12xz + 8x2 + 1yz + 6yz + -2y2 + -3z2) = 0

Combine like terms: 4xy + -4xy = 0
(0 + -2xz + 12xz + 8x2 + 1yz + 6yz + -2y2 + -3z2) = 0
(-2xz + 12xz + 8x2 + 1yz + 6yz + -2y2 + -3z2) = 0

Combine like terms: -2xz + 12xz = 10xz
(10xz + 8x2 + 1yz + 6yz + -2y2 + -3z2) = 0

Combine like terms: 1yz + 6yz = 7yz
(10xz + 8x2 + 7yz + -2y2 + -3z2) = 0

Solving
10xz + 8x2 + 7yz + -2y2 + -3z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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