y=(x-(3+2i))(x-(3-2i))

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Solution for y=(x-(3+2i))(x-(3-2i)) equation:


Simplifying
y = (x + -1(3 + 2i))(x + -1(3 + -2i))
y = (x + (3 * -1 + 2i * -1))(x + -1(3 + -2i))
y = (x + (-3 + -2i))(x + -1(3 + -2i))

Reorder the terms:
y = (-3 + -2i + x)(x + -1(3 + -2i))
y = (-3 + -2i + x)(x + (3 * -1 + -2i * -1))
y = (-3 + -2i + x)(x + (-3 + 2i))

Reorder the terms:
y = (-3 + -2i + x)(-3 + 2i + x)

Multiply (-3 + -2i + x) * (-3 + 2i + x)
y = (-3(-3 + 2i + x) + -2i * (-3 + 2i + x) + x(-3 + 2i + x))
y = ((-3 * -3 + 2i * -3 + x * -3) + -2i * (-3 + 2i + x) + x(-3 + 2i + x))
y = ((9 + -6i + -3x) + -2i * (-3 + 2i + x) + x(-3 + 2i + x))
y = (9 + -6i + -3x + (-3 * -2i + 2i * -2i + x * -2i) + x(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + (6i + -2ix + -4i2) + x(-3 + 2i + x))
y = (9 + -6i + -3x + (6i + -2ix + -4i2) + x(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (-3 * x + 2i * x + x * x))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (2ix + -3x + x2))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (2ix + -3x + x2))

Reorder the terms:
y = (9 + -6i + 6i + -2ix + 2ix + -4i2 + -3x + -3x + x2)

Combine like terms: -6i + 6i = 0
y = (9 + 0 + -2ix + 2ix + -4i2 + -3x + -3x + x2)
y = (9 + -2ix + 2ix + -4i2 + -3x + -3x + x2)

Combine like terms: -2ix + 2ix = 0
y = (9 + 0 + -4i2 + -3x + -3x + x2)
y = (9 + -4i2 + -3x + -3x + x2)

Combine like terms: -3x + -3x = -6x
y = (9 + -4i2 + -6x + x2)

Solving
y = 9 + -4i2 + -6x + x2

Solving for variable 'y'.

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

Simplifying
y = 9 + -4i2 + -6x + x2

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