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

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Solution for y=(x+1)(x-2-3i)(x-2+3i) equation: 


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

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

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

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

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

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

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

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

Multiply (-2 + -3i + -3ix + -1x + x2) * (-2 + 3i + x)
y = (-2(-2 + 3i + x) + -3i * (-2 + 3i + x) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = ((-2 * -2 + 3i * -2 + x * -2) + -3i * (-2 + 3i + x) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = ((4 + -6i + -2x) + -3i * (-2 + 3i + x) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + (-2 * -3i + 3i * -3i + x * -3i) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))

Reorder the terms:
y = (4 + -6i + -2x + (6i + -3ix + -9i2) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + (6i + -3ix + -9i2) + -3ix * (-2 + 3i + x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + (-2 * -3ix + 3i * -3ix + x * -3ix) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))

Reorder the terms:
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + (6ix + -3ix2 + -9i2x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + (6ix + -3ix2 + -9i2x) + -1x * (-2 + 3i + x) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + (-2 * -1x + 3i * -1x + x * -1x) + x2(-2 + 3i + x))

Reorder the terms:
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + (-3ix + 2x + -1x2) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + (-3ix + 2x + -1x2) + x2(-2 + 3i + x))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + -3ix + 2x + -1x2 + (-2 * x2 + 3i * x2 + x * x2))

Reorder the terms:
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + -3ix + 2x + -1x2 + (3ix2 + -2x2 + x3))
y = (4 + -6i + -2x + 6i + -3ix + -9i2 + 6ix + -3ix2 + -9i2x + -3ix + 2x + -1x2 + (3ix2 + -2x2 + x3))

Reorder the terms:
y = (4 + -6i + 6i + -3ix + 6ix + -3ix + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)

Combine like terms: -6i + 6i = 0
y = (4 + 0 + -3ix + 6ix + -3ix + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)
y = (4 + -3ix + 6ix + -3ix + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)

Combine like terms: -3ix + 6ix = 3ix
y = (4 + 3ix + -3ix + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)

Combine like terms: 3ix + -3ix = 0
y = (4 + 0 + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)
y = (4 + -3ix2 + 3ix2 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)

Combine like terms: -3ix2 + 3ix2 = 0
y = (4 + 0 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)
y = (4 + -9i2 + -9i2x + -2x + 2x + -1x2 + -2x2 + x3)

Combine like terms: -2x + 2x = 0
y = (4 + -9i2 + -9i2x + 0 + -1x2 + -2x2 + x3)
y = (4 + -9i2 + -9i2x + -1x2 + -2x2 + x3)

Combine like terms: -1x2 + -2x2 = -3x2
y = (4 + -9i2 + -9i2x + -3x2 + x3)

Solving
y = 4 + -9i2 + -9i2x + -3x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 4 + -9i2 + -9i2x + -3x2 + x3

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