y=(x-4)(x-3i)(x+3i)

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Solution for y=(x-4)(x-3i)(x+3i) equation: 


Simplifying
y = (x + -4)(x + -3i)(x + 3i)

Reorder the terms:
y = (-4 + x)(x + -3i)(x + 3i)

Reorder the terms:
y = (-4 + x)(-3i + x)(x + 3i)

Reorder the terms:
y = (-4 + x)(-3i + x)(3i + x)

Multiply (-4 + x) * (-3i + x)
y = (-4(-3i + x) + x(-3i + x))(3i + x)
y = ((-3i * -4 + x * -4) + x(-3i + x))(3i + x)
y = ((12i + -4x) + x(-3i + x))(3i + x)
y = (12i + -4x + (-3i * x + x * x))(3i + x)
y = (12i + -4x + (-3ix + x2))(3i + x)

Reorder the terms:
y = (12i + -3ix + -4x + x2)(3i + x)
y = (12i + -3ix + -4x + x2)(3i + x)

Multiply (12i + -3ix + -4x + x2) * (3i + x)
y = (12i * (3i + x) + -3ix * (3i + x) + -4x * (3i + x) + x2(3i + x))
y = ((3i * 12i + x * 12i) + -3ix * (3i + x) + -4x * (3i + x) + x2(3i + x))

Reorder the terms:
y = ((12ix + 36i2) + -3ix * (3i + x) + -4x * (3i + x) + x2(3i + x))
y = ((12ix + 36i2) + -3ix * (3i + x) + -4x * (3i + x) + x2(3i + x))
y = (12ix + 36i2 + (3i * -3ix + x * -3ix) + -4x * (3i + x) + x2(3i + x))

Reorder the terms:
y = (12ix + 36i2 + (-3ix2 + -9i2x) + -4x * (3i + x) + x2(3i + x))
y = (12ix + 36i2 + (-3ix2 + -9i2x) + -4x * (3i + x) + x2(3i + x))
y = (12ix + 36i2 + -3ix2 + -9i2x + (3i * -4x + x * -4x) + x2(3i + x))
y = (12ix + 36i2 + -3ix2 + -9i2x + (-12ix + -4x2) + x2(3i + x))
y = (12ix + 36i2 + -3ix2 + -9i2x + -12ix + -4x2 + (3i * x2 + x * x2))
y = (12ix + 36i2 + -3ix2 + -9i2x + -12ix + -4x2 + (3ix2 + x3))

Reorder the terms:
y = (12ix + -12ix + -3ix2 + 3ix2 + 36i2 + -9i2x + -4x2 + x3)

Combine like terms: 12ix + -12ix = 0
y = (0 + -3ix2 + 3ix2 + 36i2 + -9i2x + -4x2 + x3)
y = (-3ix2 + 3ix2 + 36i2 + -9i2x + -4x2 + x3)

Combine like terms: -3ix2 + 3ix2 = 0
y = (0 + 36i2 + -9i2x + -4x2 + x3)
y = (36i2 + -9i2x + -4x2 + x3)

Solving
y = 36i2 + -9i2x + -4x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 36i2 + -9i2x + -4x2 + x3

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