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

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Solution for y=(x+1)(x+1)(x-(3+2i))(x-(3-2i)) equation: 


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

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

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

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

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

Multiply (1 + x) * (1 + x)
y = (1(1 + x) + x(1 + x))(-3 + -2i + x)(-3 + 2i + x)
y = ((1 * 1 + x * 1) + x(1 + x))(-3 + -2i + x)(-3 + 2i + x)
y = ((1 + 1x) + x(1 + x))(-3 + -2i + x)(-3 + 2i + x)
y = (1 + 1x + (1 * x + x * x))(-3 + -2i + x)(-3 + 2i + x)
y = (1 + 1x + (1x + x2))(-3 + -2i + x)(-3 + 2i + x)

Combine like terms: 1x + 1x = 2x
y = (1 + 2x + x2)(-3 + -2i + x)(-3 + 2i + x)

Multiply (1 + 2x + x2) * (-3 + -2i + x)
y = (1(-3 + -2i + x) + 2x * (-3 + -2i + x) + x2(-3 + -2i + x))(-3 + 2i + x)
y = ((-3 * 1 + -2i * 1 + x * 1) + 2x * (-3 + -2i + x) + x2(-3 + -2i + x))(-3 + 2i + x)
y = ((-3 + -2i + 1x) + 2x * (-3 + -2i + x) + x2(-3 + -2i + x))(-3 + 2i + x)
y = (-3 + -2i + 1x + (-3 * 2x + -2i * 2x + x * 2x) + x2(-3 + -2i + x))(-3 + 2i + x)

Reorder the terms:
y = (-3 + -2i + 1x + (-4ix + -6x + 2x2) + x2(-3 + -2i + x))(-3 + 2i + x)
y = (-3 + -2i + 1x + (-4ix + -6x + 2x2) + x2(-3 + -2i + x))(-3 + 2i + x)
y = (-3 + -2i + 1x + -4ix + -6x + 2x2 + (-3 * x2 + -2i * x2 + x * x2))(-3 + 2i + x)

Reorder the terms:
y = (-3 + -2i + 1x + -4ix + -6x + 2x2 + (-2ix2 + -3x2 + x3))(-3 + 2i + x)
y = (-3 + -2i + 1x + -4ix + -6x + 2x2 + (-2ix2 + -3x2 + x3))(-3 + 2i + x)

Reorder the terms:
y = (-3 + -2i + -4ix + -2ix2 + 1x + -6x + 2x2 + -3x2 + x3)(-3 + 2i + x)

Combine like terms: 1x + -6x = -5x
y = (-3 + -2i + -4ix + -2ix2 + -5x + 2x2 + -3x2 + x3)(-3 + 2i + x)

Combine like terms: 2x2 + -3x2 = -1x2
y = (-3 + -2i + -4ix + -2ix2 + -5x + -1x2 + x3)(-3 + 2i + x)

Multiply (-3 + -2i + -4ix + -2ix2 + -5x + -1x2 + x3) * (-3 + 2i + x)
y = (-3(-3 + 2i + x) + -2i * (-3 + 2i + x) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = ((-3 * -3 + 2i * -3 + x * -3) + -2i * (-3 + 2i + x) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = ((9 + -6i + -3x) + -2i * (-3 + 2i + x) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + (-3 * -2i + 2i * -2i + x * -2i) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + (6i + -2ix + -4i2) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + (6i + -2ix + -4i2) + -4ix * (-3 + 2i + x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (-3 * -4ix + 2i * -4ix + x * -4ix) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (12ix + -4ix2 + -8i2x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + (12ix + -4ix2 + -8i2x) + -2ix2 * (-3 + 2i + x) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + (-3 * -2ix2 + 2i * -2ix2 + x * -2ix2) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + (6ix2 + -2ix3 + -4i2x2) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + (6ix2 + -2ix3 + -4i2x2) + -5x * (-3 + 2i + x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + (-3 * -5x + 2i * -5x + x * -5x) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + (-10ix + 15x + -5x2) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + (-10ix + 15x + -5x2) + -1x2 * (-3 + 2i + x) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + (-3 * -1x2 + 2i * -1x2 + x * -1x2) + x3(-3 + 2i + x))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + (-2ix2 + 3x2 + -1x3) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + (-2ix2 + 3x2 + -1x3) + x3(-3 + 2i + x))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + -2ix2 + 3x2 + -1x3 + (-3 * x3 + 2i * x3 + x * x3))

Reorder the terms:
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + -2ix2 + 3x2 + -1x3 + (2ix3 + -3x3 + x4))
y = (9 + -6i + -3x + 6i + -2ix + -4i2 + 12ix + -4ix2 + -8i2x + 6ix2 + -2ix3 + -4i2x2 + -10ix + 15x + -5x2 + -2ix2 + 3x2 + -1x3 + (2ix3 + -3x3 + x4))

Reorder the terms:
y = (9 + -6i + 6i + -2ix + 12ix + -10ix + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -6i + 6i = 0
y = (9 + 0 + -2ix + 12ix + -10ix + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)
y = (9 + -2ix + 12ix + -10ix + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -2ix + 12ix = 10ix
y = (9 + 10ix + -10ix + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: 10ix + -10ix = 0
y = (9 + 0 + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)
y = (9 + -4ix2 + 6ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -4ix2 + 6ix2 = 2ix2
y = (9 + 2ix2 + -2ix2 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: 2ix2 + -2ix2 = 0
y = (9 + 0 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)
y = (9 + -2ix3 + 2ix3 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -2ix3 + 2ix3 = 0
y = (9 + 0 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)
y = (9 + -4i2 + -8i2x + -4i2x2 + -3x + 15x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -3x + 15x = 12x
y = (9 + -4i2 + -8i2x + -4i2x2 + 12x + -5x2 + 3x2 + -1x3 + -3x3 + x4)

Combine like terms: -5x2 + 3x2 = -2x2
y = (9 + -4i2 + -8i2x + -4i2x2 + 12x + -2x2 + -1x3 + -3x3 + x4)

Combine like terms: -1x3 + -3x3 = -4x3
y = (9 + -4i2 + -8i2x + -4i2x2 + 12x + -2x2 + -4x3 + x4)

Solving
y = 9 + -4i2 + -8i2x + -4i2x2 + 12x + -2x2 + -4x3 + x4

Solving for variable 'y'.

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

Simplifying
y = 9 + -4i2 + -8i2x + -4i2x2 + 12x + -2x2 + -4x3 + x4

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