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

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


Simplifying
y = (x + -2)(x + -3 + i)(x + -3 + -1i)

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

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

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

Multiply (-2 + x) * (-3 + i + x)
y = (-2(-3 + i + x) + x(-3 + i + x))(-3 + -1i + x)
y = ((-3 * -2 + i * -2 + x * -2) + x(-3 + i + x))(-3 + -1i + x)
y = ((6 + -2i + -2x) + x(-3 + i + x))(-3 + -1i + x)
y = (6 + -2i + -2x + (-3 * x + i * x + x * x))(-3 + -1i + x)

Reorder the terms:
y = (6 + -2i + -2x + (ix + -3x + x2))(-3 + -1i + x)
y = (6 + -2i + -2x + (ix + -3x + x2))(-3 + -1i + x)

Reorder the terms:
y = (6 + -2i + ix + -2x + -3x + x2)(-3 + -1i + x)

Combine like terms: -2x + -3x = -5x
y = (6 + -2i + ix + -5x + x2)(-3 + -1i + x)

Multiply (6 + -2i + ix + -5x + x2) * (-3 + -1i + x)
y = (6(-3 + -1i + x) + -2i * (-3 + -1i + x) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = ((-3 * 6 + -1i * 6 + x * 6) + -2i * (-3 + -1i + x) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = ((-18 + -6i + 6x) + -2i * (-3 + -1i + x) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + (-3 * -2i + -1i * -2i + x * -2i) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))

Reorder the terms:
y = (-18 + -6i + 6x + (6i + -2ix + 2i2) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + (6i + -2ix + 2i2) + ix(-3 + -1i + x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + (-3 * ix + -1i * ix + x * ix) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))

Reorder the terms:
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + (-3ix + ix2 + -1i2x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + (-3ix + ix2 + -1i2x) + -5x * (-3 + -1i + x) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + (-3 * -5x + -1i * -5x + x * -5x) + x2(-3 + -1i + x))

Reorder the terms:
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + (5ix + 15x + -5x2) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + (5ix + 15x + -5x2) + x2(-3 + -1i + x))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + 5ix + 15x + -5x2 + (-3 * x2 + -1i * x2 + x * x2))

Reorder the terms:
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + 5ix + 15x + -5x2 + (-1ix2 + -3x2 + x3))
y = (-18 + -6i + 6x + 6i + -2ix + 2i2 + -3ix + ix2 + -1i2x + 5ix + 15x + -5x2 + (-1ix2 + -3x2 + x3))

Reorder the terms:
y = (-18 + -6i + 6i + -2ix + -3ix + 5ix + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)

Combine like terms: -6i + 6i = 0
y = (-18 + 0 + -2ix + -3ix + 5ix + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)
y = (-18 + -2ix + -3ix + 5ix + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)

Combine like terms: -2ix + -3ix = -5ix
y = (-18 + -5ix + 5ix + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)

Combine like terms: -5ix + 5ix = 0
y = (-18 + 0 + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)
y = (-18 + ix2 + -1ix2 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)

Combine like terms: ix2 + -1ix2 = 0
y = (-18 + 0 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)
y = (-18 + 2i2 + -1i2x + 6x + 15x + -5x2 + -3x2 + x3)

Combine like terms: 6x + 15x = 21x
y = (-18 + 2i2 + -1i2x + 21x + -5x2 + -3x2 + x3)

Combine like terms: -5x2 + -3x2 = -8x2
y = (-18 + 2i2 + -1i2x + 21x + -8x2 + x3)

Solving
y = -18 + 2i2 + -1i2x + 21x + -8x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -18 + 2i2 + -1i2x + 21x + -8x2 + x3

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