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

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


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

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

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

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

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

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

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

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

Multiply (-6 + -3i + -1ix + 1x + x2) * (-2 + 1i + x)
y = (-6(-2 + 1i + x) + -3i * (-2 + 1i + x) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = ((-2 * -6 + 1i * -6 + x * -6) + -3i * (-2 + 1i + x) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = ((12 + -6i + -6x) + -3i * (-2 + 1i + x) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + (-2 * -3i + 1i * -3i + x * -3i) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))

Reorder the terms:
y = (12 + -6i + -6x + (6i + -3ix + -3i2) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + (6i + -3ix + -3i2) + -1ix * (-2 + 1i + x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + (-2 * -1ix + 1i * -1ix + x * -1ix) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))

Reorder the terms:
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + (2ix + -1ix2 + -1i2x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + (2ix + -1ix2 + -1i2x) + 1x * (-2 + 1i + x) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + (-2 * 1x + 1i * 1x + x * 1x) + x2(-2 + 1i + x))

Reorder the terms:
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + (1ix + -2x + 1x2) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + (1ix + -2x + 1x2) + x2(-2 + 1i + x))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + 1ix + -2x + 1x2 + (-2 * x2 + 1i * x2 + x * x2))

Reorder the terms:
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + 1ix + -2x + 1x2 + (1ix2 + -2x2 + x3))
y = (12 + -6i + -6x + 6i + -3ix + -3i2 + 2ix + -1ix2 + -1i2x + 1ix + -2x + 1x2 + (1ix2 + -2x2 + x3))

Reorder the terms:
y = (12 + -6i + 6i + -3ix + 2ix + 1ix + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)

Combine like terms: -6i + 6i = 0
y = (12 + 0 + -3ix + 2ix + 1ix + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)
y = (12 + -3ix + 2ix + 1ix + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)

Combine like terms: -3ix + 2ix = -1ix
y = (12 + -1ix + 1ix + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)

Combine like terms: -1ix + 1ix = 0
y = (12 + 0 + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)
y = (12 + -1ix2 + 1ix2 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)

Combine like terms: -1ix2 + 1ix2 = 0
y = (12 + 0 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)
y = (12 + -3i2 + -1i2x + -6x + -2x + 1x2 + -2x2 + x3)

Combine like terms: -6x + -2x = -8x
y = (12 + -3i2 + -1i2x + -8x + 1x2 + -2x2 + x3)

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

Solving
y = 12 + -3i2 + -1i2x + -8x + -1x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 12 + -3i2 + -1i2x + -8x + -1x2 + x3

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