y=(x-4-2i)(x-4+2i)

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Solution for y=(x-4-2i)(x-4+2i) equation: 


Simplifying
y = (x + -4 + -2i)(x + -4 + 2i)

Reorder the terms:
y = (-4 + -2i + x)(x + -4 + 2i)

Reorder the terms:
y = (-4 + -2i + x)(-4 + 2i + x)

Multiply (-4 + -2i + x) * (-4 + 2i + x)
y = (-4(-4 + 2i + x) + -2i * (-4 + 2i + x) + x(-4 + 2i + x))
y = ((-4 * -4 + 2i * -4 + x * -4) + -2i * (-4 + 2i + x) + x(-4 + 2i + x))
y = ((16 + -8i + -4x) + -2i * (-4 + 2i + x) + x(-4 + 2i + x))
y = (16 + -8i + -4x + (-4 * -2i + 2i * -2i + x * -2i) + x(-4 + 2i + x))

Reorder the terms:
y = (16 + -8i + -4x + (8i + -2ix + -4i2) + x(-4 + 2i + x))
y = (16 + -8i + -4x + (8i + -2ix + -4i2) + x(-4 + 2i + x))
y = (16 + -8i + -4x + 8i + -2ix + -4i2 + (-4 * x + 2i * x + x * x))

Reorder the terms:
y = (16 + -8i + -4x + 8i + -2ix + -4i2 + (2ix + -4x + x2))
y = (16 + -8i + -4x + 8i + -2ix + -4i2 + (2ix + -4x + x2))

Reorder the terms:
y = (16 + -8i + 8i + -2ix + 2ix + -4i2 + -4x + -4x + x2)

Combine like terms: -8i + 8i = 0
y = (16 + 0 + -2ix + 2ix + -4i2 + -4x + -4x + x2)
y = (16 + -2ix + 2ix + -4i2 + -4x + -4x + x2)

Combine like terms: -2ix + 2ix = 0
y = (16 + 0 + -4i2 + -4x + -4x + x2)
y = (16 + -4i2 + -4x + -4x + x2)

Combine like terms: -4x + -4x = -8x
y = (16 + -4i2 + -8x + x2)

Solving
y = 16 + -4i2 + -8x + x2

Solving for variable 'y'.

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

Simplifying
y = 16 + -4i2 + -8x + x2

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