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

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


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

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

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

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

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

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

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

Multiply (-2 + -1x + x2) * (3i + x)
y = (-2(3i + x) + -1x * (3i + x) + x2(3i + x))(-3i + x)
y = ((3i * -2 + x * -2) + -1x * (3i + x) + x2(3i + x))(-3i + x)
y = ((-6i + -2x) + -1x * (3i + x) + x2(3i + x))(-3i + x)
y = (-6i + -2x + (3i * -1x + x * -1x) + x2(3i + x))(-3i + x)
y = (-6i + -2x + (-3ix + -1x2) + x2(3i + x))(-3i + x)
y = (-6i + -2x + -3ix + -1x2 + (3i * x2 + x * x2))(-3i + x)
y = (-6i + -2x + -3ix + -1x2 + (3ix2 + x3))(-3i + x)

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

Multiply (-6i + -3ix + 3ix2 + -2x + -1x2 + x3) * (-3i + x)
y = (-6i * (-3i + x) + -3ix * (-3i + x) + 3ix2 * (-3i + x) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))
y = ((-3i * -6i + x * -6i) + -3ix * (-3i + x) + 3ix2 * (-3i + x) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))

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

Reorder the terms:
y = (-6ix + 18i2 + (-3ix2 + 9i2x) + 3ix2 * (-3i + x) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + (-3ix2 + 9i2x) + 3ix2 * (-3i + x) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + (-3i * 3ix2 + x * 3ix2) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))

Reorder the terms:
y = (-6ix + 18i2 + -3ix2 + 9i2x + (3ix3 + -9i2x2) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + (3ix3 + -9i2x2) + -2x * (-3i + x) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + (-3i * -2x + x * -2x) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + (6ix + -2x2) + -1x2 * (-3i + x) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + 6ix + -2x2 + (-3i * -1x2 + x * -1x2) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + 6ix + -2x2 + (3ix2 + -1x3) + x3(-3i + x))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + 6ix + -2x2 + 3ix2 + -1x3 + (-3i * x3 + x * x3))
y = (-6ix + 18i2 + -3ix2 + 9i2x + 3ix3 + -9i2x2 + 6ix + -2x2 + 3ix2 + -1x3 + (-3ix3 + x4))

Reorder the terms:
y = (-6ix + 6ix + -3ix2 + 3ix2 + 3ix3 + -3ix3 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)

Combine like terms: -6ix + 6ix = 0
y = (0 + -3ix2 + 3ix2 + 3ix3 + -3ix3 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)
y = (-3ix2 + 3ix2 + 3ix3 + -3ix3 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)

Combine like terms: -3ix2 + 3ix2 = 0
y = (0 + 3ix3 + -3ix3 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)
y = (3ix3 + -3ix3 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)

Combine like terms: 3ix3 + -3ix3 = 0
y = (0 + 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)
y = (18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4)

Solving
y = 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4

Solving for variable 'y'.

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

Simplifying
y = 18i2 + 9i2x + -9i2x2 + -2x2 + -1x3 + x4

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