y=(x-2+6i)(x-2-6i)

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Solution for y=(x-2+6i)(x-2-6i) equation: 


Simplifying
y = (x + -2 + 6i)(x + -2 + -6i)

Reorder the terms:
y = (-2 + 6i + x)(x + -2 + -6i)

Reorder the terms:
y = (-2 + 6i + x)(-2 + -6i + x)

Multiply (-2 + 6i + x) * (-2 + -6i + x)
y = (-2(-2 + -6i + x) + 6i * (-2 + -6i + x) + x(-2 + -6i + x))
y = ((-2 * -2 + -6i * -2 + x * -2) + 6i * (-2 + -6i + x) + x(-2 + -6i + x))
y = ((4 + 12i + -2x) + 6i * (-2 + -6i + x) + x(-2 + -6i + x))
y = (4 + 12i + -2x + (-2 * 6i + -6i * 6i + x * 6i) + x(-2 + -6i + x))

Reorder the terms:
y = (4 + 12i + -2x + (-12i + 6ix + -36i2) + x(-2 + -6i + x))
y = (4 + 12i + -2x + (-12i + 6ix + -36i2) + x(-2 + -6i + x))
y = (4 + 12i + -2x + -12i + 6ix + -36i2 + (-2 * x + -6i * x + x * x))

Reorder the terms:
y = (4 + 12i + -2x + -12i + 6ix + -36i2 + (-6ix + -2x + x2))
y = (4 + 12i + -2x + -12i + 6ix + -36i2 + (-6ix + -2x + x2))

Reorder the terms:
y = (4 + 12i + -12i + 6ix + -6ix + -36i2 + -2x + -2x + x2)

Combine like terms: 12i + -12i = 0
y = (4 + 0 + 6ix + -6ix + -36i2 + -2x + -2x + x2)
y = (4 + 6ix + -6ix + -36i2 + -2x + -2x + x2)

Combine like terms: 6ix + -6ix = 0
y = (4 + 0 + -36i2 + -2x + -2x + x2)
y = (4 + -36i2 + -2x + -2x + x2)

Combine like terms: -2x + -2x = -4x
y = (4 + -36i2 + -4x + x2)

Solving
y = 4 + -36i2 + -4x + x2

Solving for variable 'y'.

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

Simplifying
y = 4 + -36i2 + -4x + x2

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