y=(x-2)(x-1+4i)(x-1-4i)

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Solution for y=(x-2)(x-1+4i)(x-1-4i) equation: 


Simplifying
y = (x + -2)(x + -1 + 4i)(x + -1 + -4i)

Reorder the terms:
y = (-2 + x)(x + -1 + 4i)(x + -1 + -4i)

Reorder the terms:
y = (-2 + x)(-1 + 4i + x)(x + -1 + -4i)

Reorder the terms:
y = (-2 + x)(-1 + 4i + x)(-1 + -4i + x)

Multiply (-2 + x) * (-1 + 4i + x)
y = (-2(-1 + 4i + x) + x(-1 + 4i + x))(-1 + -4i + x)
y = ((-1 * -2 + 4i * -2 + x * -2) + x(-1 + 4i + x))(-1 + -4i + x)
y = ((2 + -8i + -2x) + x(-1 + 4i + x))(-1 + -4i + x)
y = (2 + -8i + -2x + (-1 * x + 4i * x + x * x))(-1 + -4i + x)

Reorder the terms:
y = (2 + -8i + -2x + (4ix + -1x + x2))(-1 + -4i + x)
y = (2 + -8i + -2x + (4ix + -1x + x2))(-1 + -4i + x)

Reorder the terms:
y = (2 + -8i + 4ix + -2x + -1x + x2)(-1 + -4i + x)

Combine like terms: -2x + -1x = -3x
y = (2 + -8i + 4ix + -3x + x2)(-1 + -4i + x)

Multiply (2 + -8i + 4ix + -3x + x2) * (-1 + -4i + x)
y = (2(-1 + -4i + x) + -8i * (-1 + -4i + x) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = ((-1 * 2 + -4i * 2 + x * 2) + -8i * (-1 + -4i + x) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = ((-2 + -8i + 2x) + -8i * (-1 + -4i + x) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + (-1 * -8i + -4i * -8i + x * -8i) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))

Reorder the terms:
y = (-2 + -8i + 2x + (8i + -8ix + 32i2) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + (8i + -8ix + 32i2) + 4ix * (-1 + -4i + x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + (-1 * 4ix + -4i * 4ix + x * 4ix) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))

Reorder the terms:
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + (-4ix + 4ix2 + -16i2x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + (-4ix + 4ix2 + -16i2x) + -3x * (-1 + -4i + x) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + (-1 * -3x + -4i * -3x + x * -3x) + x2(-1 + -4i + x))

Reorder the terms:
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + (12ix + 3x + -3x2) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + (12ix + 3x + -3x2) + x2(-1 + -4i + x))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + 12ix + 3x + -3x2 + (-1 * x2 + -4i * x2 + x * x2))

Reorder the terms:
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + 12ix + 3x + -3x2 + (-4ix2 + -1x2 + x3))
y = (-2 + -8i + 2x + 8i + -8ix + 32i2 + -4ix + 4ix2 + -16i2x + 12ix + 3x + -3x2 + (-4ix2 + -1x2 + x3))

Reorder the terms:
y = (-2 + -8i + 8i + -8ix + -4ix + 12ix + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)

Combine like terms: -8i + 8i = 0
y = (-2 + 0 + -8ix + -4ix + 12ix + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)
y = (-2 + -8ix + -4ix + 12ix + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)

Combine like terms: -8ix + -4ix = -12ix
y = (-2 + -12ix + 12ix + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)

Combine like terms: -12ix + 12ix = 0
y = (-2 + 0 + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)
y = (-2 + 4ix2 + -4ix2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)

Combine like terms: 4ix2 + -4ix2 = 0
y = (-2 + 0 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)
y = (-2 + 32i2 + -16i2x + 2x + 3x + -3x2 + -1x2 + x3)

Combine like terms: 2x + 3x = 5x
y = (-2 + 32i2 + -16i2x + 5x + -3x2 + -1x2 + x3)

Combine like terms: -3x2 + -1x2 = -4x2
y = (-2 + 32i2 + -16i2x + 5x + -4x2 + x3)

Solving
y = -2 + 32i2 + -16i2x + 5x + -4x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -2 + 32i2 + -16i2x + 5x + -4x2 + x3

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