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

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


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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'y'.

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

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

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