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 + -1(-3 + i))(x + -1(-3 + -1i))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 1x2 + 3x2 = 4x2
y = (-18 + 2i2 + -1i2x + -3x + 4x2 + x3)

Solving
y = -18 + 2i2 + -1i2x + -3x + 4x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -18 + 2i2 + -1i2x + -3x + 4x2 + x3

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