y=(x-4)(x-2+3i)(x-2-3i)

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


Simplifying
y = (x + -4)(x + -2 + 3i)(x + -2 + -3i)

Reorder the terms:
y = (-4 + x)(x + -2 + 3i)(x + -2 + -3i)

Reorder the terms:
y = (-4 + x)(-2 + 3i + x)(x + -2 + -3i)

Reorder the terms:
y = (-4 + x)(-2 + 3i + x)(-2 + -3i + x)

Multiply (-4 + x) * (-2 + 3i + x)
y = (-4(-2 + 3i + x) + x(-2 + 3i + x))(-2 + -3i + x)
y = ((-2 * -4 + 3i * -4 + x * -4) + x(-2 + 3i + x))(-2 + -3i + x)
y = ((8 + -12i + -4x) + x(-2 + 3i + x))(-2 + -3i + x)
y = (8 + -12i + -4x + (-2 * x + 3i * x + x * x))(-2 + -3i + x)

Reorder the terms:
y = (8 + -12i + -4x + (3ix + -2x + x2))(-2 + -3i + x)
y = (8 + -12i + -4x + (3ix + -2x + x2))(-2 + -3i + x)

Reorder the terms:
y = (8 + -12i + 3ix + -4x + -2x + x2)(-2 + -3i + x)

Combine like terms: -4x + -2x = -6x
y = (8 + -12i + 3ix + -6x + x2)(-2 + -3i + x)

Multiply (8 + -12i + 3ix + -6x + x2) * (-2 + -3i + x)
y = (8(-2 + -3i + x) + -12i * (-2 + -3i + x) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = ((-2 * 8 + -3i * 8 + x * 8) + -12i * (-2 + -3i + x) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = ((-16 + -24i + 8x) + -12i * (-2 + -3i + x) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + (-2 * -12i + -3i * -12i + x * -12i) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))

Reorder the terms:
y = (-16 + -24i + 8x + (24i + -12ix + 36i2) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + (24i + -12ix + 36i2) + 3ix * (-2 + -3i + x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + (-2 * 3ix + -3i * 3ix + x * 3ix) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))

Reorder the terms:
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + (-6ix + 3ix2 + -9i2x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + (-6ix + 3ix2 + -9i2x) + -6x * (-2 + -3i + x) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + (-2 * -6x + -3i * -6x + x * -6x) + x2(-2 + -3i + x))

Reorder the terms:
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + (18ix + 12x + -6x2) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + (18ix + 12x + -6x2) + x2(-2 + -3i + x))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + 18ix + 12x + -6x2 + (-2 * x2 + -3i * x2 + x * x2))

Reorder the terms:
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + 18ix + 12x + -6x2 + (-3ix2 + -2x2 + x3))
y = (-16 + -24i + 8x + 24i + -12ix + 36i2 + -6ix + 3ix2 + -9i2x + 18ix + 12x + -6x2 + (-3ix2 + -2x2 + x3))

Reorder the terms:
y = (-16 + -24i + 24i + -12ix + -6ix + 18ix + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)

Combine like terms: -24i + 24i = 0
y = (-16 + 0 + -12ix + -6ix + 18ix + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)
y = (-16 + -12ix + -6ix + 18ix + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)

Combine like terms: -12ix + -6ix = -18ix
y = (-16 + -18ix + 18ix + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)

Combine like terms: -18ix + 18ix = 0
y = (-16 + 0 + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)
y = (-16 + 3ix2 + -3ix2 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)

Combine like terms: 3ix2 + -3ix2 = 0
y = (-16 + 0 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)
y = (-16 + 36i2 + -9i2x + 8x + 12x + -6x2 + -2x2 + x3)

Combine like terms: 8x + 12x = 20x
y = (-16 + 36i2 + -9i2x + 20x + -6x2 + -2x2 + x3)

Combine like terms: -6x2 + -2x2 = -8x2
y = (-16 + 36i2 + -9i2x + 20x + -8x2 + x3)

Solving
y = -16 + 36i2 + -9i2x + 20x + -8x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -16 + 36i2 + -9i2x + 20x + -8x2 + x3

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