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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