=(x-2y+3z)(2x-1)

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Solution for =(x-2y+3z)(2x-1) equation: 


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

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

Multiply (x + -2y + 3z) * (-1 + 2x)
0 = (x(-1 + 2x) + -2y * (-1 + 2x) + 3z * (-1 + 2x))
0 = ((-1 * x + 2x * x) + -2y * (-1 + 2x) + 3z * (-1 + 2x))
0 = ((-1x + 2x2) + -2y * (-1 + 2x) + 3z * (-1 + 2x))
0 = (-1x + 2x2 + (-1 * -2y + 2x * -2y) + 3z * (-1 + 2x))

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

Reorder the terms:
0 = (-1x + 2x2 + -4xy + 2y + (6xz + -3z))
0 = (-1x + 2x2 + -4xy + 2y + (6xz + -3z))

Reorder the terms:
0 = (-1x + -4xy + 6xz + 2x2 + 2y + -3z)
0 = (-1x + -4xy + 6xz + 2x2 + 2y + -3z)

Solving
0 = -1x + -4xy + 6xz + 2x2 + 2y + -3z

Solving for variable 'x'.
Remove the zero:
x + 4xy + -6xz + -2x2 + -2y + 3z = -1x + -4xy + 6xz + 2x2 + 2y + -3z + x + 4xy + -6xz + -2x2 + -2y + 3z

Reorder the terms:
x + 4xy + -6xz + -2x2 + -2y + 3z = -1x + x + -4xy + 4xy + 6xz + -6xz + 2x2 + -2x2 + 2y + -2y + -3z + 3z

Combine like terms: -1x + x = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0 + -4xy + 4xy + 6xz + -6xz + 2x2 + -2x2 + 2y + -2y + -3z + 3z
x + 4xy + -6xz + -2x2 + -2y + 3z = -4xy + 4xy + 6xz + -6xz + 2x2 + -2x2 + 2y + -2y + -3z + 3z

Combine like terms: -4xy + 4xy = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0 + 6xz + -6xz + 2x2 + -2x2 + 2y + -2y + -3z + 3z
x + 4xy + -6xz + -2x2 + -2y + 3z = 6xz + -6xz + 2x2 + -2x2 + 2y + -2y + -3z + 3z

Combine like terms: 6xz + -6xz = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0 + 2x2 + -2x2 + 2y + -2y + -3z + 3z
x + 4xy + -6xz + -2x2 + -2y + 3z = 2x2 + -2x2 + 2y + -2y + -3z + 3z

Combine like terms: 2x2 + -2x2 = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0 + 2y + -2y + -3z + 3z
x + 4xy + -6xz + -2x2 + -2y + 3z = 2y + -2y + -3z + 3z

Combine like terms: 2y + -2y = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0 + -3z + 3z
x + 4xy + -6xz + -2x2 + -2y + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
x + 4xy + -6xz + -2x2 + -2y + 3z = 0

The solution to this equation could not be determined.

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