Y=(X-4+2I)(X-4-2I)(X^2-1)

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Solution for Y=(X-4+2I)(X-4-2I)(X^2-1) equation: 


Simplifying
Y = (X + -4 + 2I)(X + -4 + -2I)(X2 + -1)

Reorder the terms:
Y = (-4 + 2I + X)(X + -4 + -2I)(X2 + -1)

Reorder the terms:
Y = (-4 + 2I + X)(-4 + -2I + X)(X2 + -1)

Reorder the terms:
Y = (-4 + 2I + X)(-4 + -2I + X)(-1 + X2)

Multiply (-4 + 2I + X) * (-4 + -2I + X)
Y = (-4(-4 + -2I + X) + 2I * (-4 + -2I + X) + X(-4 + -2I + X))(-1 + X2)
Y = ((-4 * -4 + -2I * -4 + X * -4) + 2I * (-4 + -2I + X) + X(-4 + -2I + X))(-1 + X2)
Y = ((16 + 8I + -4X) + 2I * (-4 + -2I + X) + X(-4 + -2I + X))(-1 + X2)
Y = (16 + 8I + -4X + (-4 * 2I + -2I * 2I + X * 2I) + X(-4 + -2I + X))(-1 + X2)

Reorder the terms:
Y = (16 + 8I + -4X + (-8I + 2IX + -4I2) + X(-4 + -2I + X))(-1 + X2)
Y = (16 + 8I + -4X + (-8I + 2IX + -4I2) + X(-4 + -2I + X))(-1 + X2)
Y = (16 + 8I + -4X + -8I + 2IX + -4I2 + (-4 * X + -2I * X + X * X))(-1 + X2)

Reorder the terms:
Y = (16 + 8I + -4X + -8I + 2IX + -4I2 + (-2IX + -4X + X2))(-1 + X2)
Y = (16 + 8I + -4X + -8I + 2IX + -4I2 + (-2IX + -4X + X2))(-1 + X2)

Reorder the terms:
Y = (16 + 8I + -8I + 2IX + -2IX + -4I2 + -4X + -4X + X2)(-1 + X2)

Combine like terms: 8I + -8I = 0
Y = (16 + 0 + 2IX + -2IX + -4I2 + -4X + -4X + X2)(-1 + X2)
Y = (16 + 2IX + -2IX + -4I2 + -4X + -4X + X2)(-1 + X2)

Combine like terms: 2IX + -2IX = 0
Y = (16 + 0 + -4I2 + -4X + -4X + X2)(-1 + X2)
Y = (16 + -4I2 + -4X + -4X + X2)(-1 + X2)

Combine like terms: -4X + -4X = -8X
Y = (16 + -4I2 + -8X + X2)(-1 + X2)

Multiply (16 + -4I2 + -8X + X2) * (-1 + X2)
Y = (16(-1 + X2) + -4I2 * (-1 + X2) + -8X * (-1 + X2) + X2(-1 + X2))
Y = ((-1 * 16 + X2 * 16) + -4I2 * (-1 + X2) + -8X * (-1 + X2) + X2(-1 + X2))
Y = ((-16 + 16X2) + -4I2 * (-1 + X2) + -8X * (-1 + X2) + X2(-1 + X2))
Y = (-16 + 16X2 + (-1 * -4I2 + X2 * -4I2) + -8X * (-1 + X2) + X2(-1 + X2))
Y = (-16 + 16X2 + (4I2 + -4I2X2) + -8X * (-1 + X2) + X2(-1 + X2))
Y = (-16 + 16X2 + 4I2 + -4I2X2 + (-1 * -8X + X2 * -8X) + X2(-1 + X2))
Y = (-16 + 16X2 + 4I2 + -4I2X2 + (8X + -8X3) + X2(-1 + X2))
Y = (-16 + 16X2 + 4I2 + -4I2X2 + 8X + -8X3 + (-1 * X2 + X2 * X2))
Y = (-16 + 16X2 + 4I2 + -4I2X2 + 8X + -8X3 + (-1X2 + X4))

Reorder the terms:
Y = (-16 + 4I2 + -4I2X2 + 8X + 16X2 + -1X2 + -8X3 + X4)

Combine like terms: 16X2 + -1X2 = 15X2
Y = (-16 + 4I2 + -4I2X2 + 8X + 15X2 + -8X3 + X4)

Solving
Y = -16 + 4I2 + -4I2X2 + 8X + 15X2 + -8X3 + X4

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Simplifying
Y = -16 + 4I2 + -4I2X2 + 8X + 15X2 + -8X3 + X4

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