y=(x-4)(x-5-3i)(x-5+3i)

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Solution for y=(x-4)(x-5-3i)(x-5+3i) equation: 


Simplifying
y = (x + -4)(x + -5 + -3i)(x + -5 + 3i)

Reorder the terms:
y = (-4 + x)(x + -5 + -3i)(x + -5 + 3i)

Reorder the terms:
y = (-4 + x)(-5 + -3i + x)(x + -5 + 3i)

Reorder the terms:
y = (-4 + x)(-5 + -3i + x)(-5 + 3i + x)

Multiply (-4 + x) * (-5 + -3i + x)
y = (-4(-5 + -3i + x) + x(-5 + -3i + x))(-5 + 3i + x)
y = ((-5 * -4 + -3i * -4 + x * -4) + x(-5 + -3i + x))(-5 + 3i + x)
y = ((20 + 12i + -4x) + x(-5 + -3i + x))(-5 + 3i + x)
y = (20 + 12i + -4x + (-5 * x + -3i * x + x * x))(-5 + 3i + x)

Reorder the terms:
y = (20 + 12i + -4x + (-3ix + -5x + x2))(-5 + 3i + x)
y = (20 + 12i + -4x + (-3ix + -5x + x2))(-5 + 3i + x)

Reorder the terms:
y = (20 + 12i + -3ix + -4x + -5x + x2)(-5 + 3i + x)

Combine like terms: -4x + -5x = -9x
y = (20 + 12i + -3ix + -9x + x2)(-5 + 3i + x)

Multiply (20 + 12i + -3ix + -9x + x2) * (-5 + 3i + x)
y = (20(-5 + 3i + x) + 12i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = ((-5 * 20 + 3i * 20 + x * 20) + 12i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = ((-100 + 60i + 20x) + 12i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + (-5 * 12i + 3i * 12i + x * 12i) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-100 + 60i + 20x + (-60i + 12ix + 36i2) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + (-60i + 12ix + 36i2) + -3ix * (-5 + 3i + x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + (-5 * -3ix + 3i * -3ix + x * -3ix) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + (15ix + -3ix2 + -9i2x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + (15ix + -3ix2 + -9i2x) + -9x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + (-5 * -9x + 3i * -9x + x * -9x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + (-27ix + 45x + -9x2) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + (-27ix + 45x + -9x2) + x2(-5 + 3i + x))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + -27ix + 45x + -9x2 + (-5 * x2 + 3i * x2 + x * x2))

Reorder the terms:
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + -27ix + 45x + -9x2 + (3ix2 + -5x2 + x3))
y = (-100 + 60i + 20x + -60i + 12ix + 36i2 + 15ix + -3ix2 + -9i2x + -27ix + 45x + -9x2 + (3ix2 + -5x2 + x3))

Reorder the terms:
y = (-100 + 60i + -60i + 12ix + 15ix + -27ix + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)

Combine like terms: 60i + -60i = 0
y = (-100 + 0 + 12ix + 15ix + -27ix + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)
y = (-100 + 12ix + 15ix + -27ix + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)

Combine like terms: 12ix + 15ix = 27ix
y = (-100 + 27ix + -27ix + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)

Combine like terms: 27ix + -27ix = 0
y = (-100 + 0 + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)
y = (-100 + -3ix2 + 3ix2 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)

Combine like terms: -3ix2 + 3ix2 = 0
y = (-100 + 0 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)
y = (-100 + 36i2 + -9i2x + 20x + 45x + -9x2 + -5x2 + x3)

Combine like terms: 20x + 45x = 65x
y = (-100 + 36i2 + -9i2x + 65x + -9x2 + -5x2 + x3)

Combine like terms: -9x2 + -5x2 = -14x2
y = (-100 + 36i2 + -9i2x + 65x + -14x2 + x3)

Solving
y = -100 + 36i2 + -9i2x + 65x + -14x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -100 + 36i2 + -9i2x + 65x + -14x2 + x3

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