Y=(x+2)(x-8+2i)(x-8-2i)

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Solution for Y=(x+2)(x-8+2i)(x-8-2i) equation: 


Simplifying
Y = (x + 2)(x + -8 + 2i)(x + -8 + -2i)

Reorder the terms:
Y = (2 + x)(x + -8 + 2i)(x + -8 + -2i)

Reorder the terms:
Y = (2 + x)(-8 + 2i + x)(x + -8 + -2i)

Reorder the terms:
Y = (2 + x)(-8 + 2i + x)(-8 + -2i + x)

Multiply (2 + x) * (-8 + 2i + x)
Y = (2(-8 + 2i + x) + x(-8 + 2i + x))(-8 + -2i + x)
Y = ((-8 * 2 + 2i * 2 + x * 2) + x(-8 + 2i + x))(-8 + -2i + x)
Y = ((-16 + 4i + 2x) + x(-8 + 2i + x))(-8 + -2i + x)
Y = (-16 + 4i + 2x + (-8 * x + 2i * x + x * x))(-8 + -2i + x)

Reorder the terms:
Y = (-16 + 4i + 2x + (2ix + -8x + x2))(-8 + -2i + x)
Y = (-16 + 4i + 2x + (2ix + -8x + x2))(-8 + -2i + x)

Reorder the terms:
Y = (-16 + 4i + 2ix + 2x + -8x + x2)(-8 + -2i + x)

Combine like terms: 2x + -8x = -6x
Y = (-16 + 4i + 2ix + -6x + x2)(-8 + -2i + x)

Multiply (-16 + 4i + 2ix + -6x + x2) * (-8 + -2i + x)
Y = (-16(-8 + -2i + x) + 4i * (-8 + -2i + x) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = ((-8 * -16 + -2i * -16 + x * -16) + 4i * (-8 + -2i + x) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = ((128 + 32i + -16x) + 4i * (-8 + -2i + x) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + (-8 * 4i + -2i * 4i + x * 4i) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))

Reorder the terms:
Y = (128 + 32i + -16x + (-32i + 4ix + -8i2) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + (-32i + 4ix + -8i2) + 2ix * (-8 + -2i + x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + (-8 * 2ix + -2i * 2ix + x * 2ix) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))

Reorder the terms:
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + (-16ix + 2ix2 + -4i2x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + (-16ix + 2ix2 + -4i2x) + -6x * (-8 + -2i + x) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + (-8 * -6x + -2i * -6x + x * -6x) + x2(-8 + -2i + x))

Reorder the terms:
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + (12ix + 48x + -6x2) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + (12ix + 48x + -6x2) + x2(-8 + -2i + x))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + 12ix + 48x + -6x2 + (-8 * x2 + -2i * x2 + x * x2))

Reorder the terms:
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + 12ix + 48x + -6x2 + (-2ix2 + -8x2 + x3))
Y = (128 + 32i + -16x + -32i + 4ix + -8i2 + -16ix + 2ix2 + -4i2x + 12ix + 48x + -6x2 + (-2ix2 + -8x2 + x3))

Reorder the terms:
Y = (128 + 32i + -32i + 4ix + -16ix + 12ix + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)

Combine like terms: 32i + -32i = 0
Y = (128 + 0 + 4ix + -16ix + 12ix + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)
Y = (128 + 4ix + -16ix + 12ix + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)

Combine like terms: 4ix + -16ix = -12ix
Y = (128 + -12ix + 12ix + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)

Combine like terms: -12ix + 12ix = 0
Y = (128 + 0 + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)
Y = (128 + 2ix2 + -2ix2 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)

Combine like terms: 2ix2 + -2ix2 = 0
Y = (128 + 0 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)
Y = (128 + -8i2 + -4i2x + -16x + 48x + -6x2 + -8x2 + x3)

Combine like terms: -16x + 48x = 32x
Y = (128 + -8i2 + -4i2x + 32x + -6x2 + -8x2 + x3)

Combine like terms: -6x2 + -8x2 = -14x2
Y = (128 + -8i2 + -4i2x + 32x + -14x2 + x3)

Solving
Y = 128 + -8i2 + -4i2x + 32x + -14x2 + x3

Solving for variable 'Y'.

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

Simplifying
Y = 128 + -8i2 + -4i2x + 32x + -14x2 + x3

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