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

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


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

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

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

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

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

Reorder the terms:
y = (3ix + -3ix + -9i2 + x2)

Combine like terms: 3ix + -3ix = 0
y = (0 + -9i2 + x2)
y = (-9i2 + x2)

Solving
y = -9i2 + x2

Solving for variable 'y'.

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

Simplifying
y = -9i2 + x2

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