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

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


Simplifying
Y = (x + -1)(x + -3i)(x + 3i)

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

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

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

Multiply (-1 + x) * (-3i + x)
Y = (-1(-3i + x) + x(-3i + x))(3i + x)
Y = ((-3i * -1 + x * -1) + x(-3i + x))(3i + x)
Y = ((3i + -1x) + x(-3i + x))(3i + x)
Y = (3i + -1x + (-3i * x + x * x))(3i + x)
Y = (3i + -1x + (-3ix + x2))(3i + x)

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

Multiply (3i + -3ix + -1x + x2) * (3i + x)
Y = (3i * (3i + x) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x))
Y = ((3i * 3i + x * 3i) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x))

Reorder the terms:
Y = ((3ix + 9i2) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x))
Y = ((3ix + 9i2) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x))
Y = (3ix + 9i2 + (3i * -3ix + x * -3ix) + -1x * (3i + x) + x2(3i + x))

Reorder the terms:
Y = (3ix + 9i2 + (-3ix2 + -9i2x) + -1x * (3i + x) + x2(3i + x))
Y = (3ix + 9i2 + (-3ix2 + -9i2x) + -1x * (3i + x) + x2(3i + x))
Y = (3ix + 9i2 + -3ix2 + -9i2x + (3i * -1x + x * -1x) + x2(3i + x))
Y = (3ix + 9i2 + -3ix2 + -9i2x + (-3ix + -1x2) + x2(3i + x))
Y = (3ix + 9i2 + -3ix2 + -9i2x + -3ix + -1x2 + (3i * x2 + x * x2))
Y = (3ix + 9i2 + -3ix2 + -9i2x + -3ix + -1x2 + (3ix2 + x3))

Reorder the terms:
Y = (3ix + -3ix + -3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3)

Combine like terms: 3ix + -3ix = 0
Y = (0 + -3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3)
Y = (-3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3)

Combine like terms: -3ix2 + 3ix2 = 0
Y = (0 + 9i2 + -9i2x + -1x2 + x3)
Y = (9i2 + -9i2x + -1x2 + x3)

Solving
Y = 9i2 + -9i2x + -1x2 + x3

Solving for variable 'Y'.

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

Simplifying
Y = 9i2 + -9i2x + -1x2 + x3

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