y=(x-6)(x-5-3i)(x-5+3i)

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Solution for y=(x-6)(x-5-3i)(x-5+3i) equation: 


Simplifying
y = (x + -6)(x + -5 + -3i)(x + -5 + 3i)

Reorder the terms:
y = (-6 + x)(x + -5 + -3i)(x + -5 + 3i)

Reorder the terms:
y = (-6 + x)(-5 + -3i + x)(x + -5 + 3i)

Reorder the terms:
y = (-6 + x)(-5 + -3i + x)(-5 + 3i + x)

Multiply (-6 + x) * (-5 + -3i + x)
y = (-6(-5 + -3i + x) + x(-5 + -3i + x))(-5 + 3i + x)
y = ((-5 * -6 + -3i * -6 + x * -6) + x(-5 + -3i + x))(-5 + 3i + x)
y = ((30 + 18i + -6x) + x(-5 + -3i + x))(-5 + 3i + x)
y = (30 + 18i + -6x + (-5 * x + -3i * x + x * x))(-5 + 3i + x)

Reorder the terms:
y = (30 + 18i + -6x + (-3ix + -5x + x2))(-5 + 3i + x)
y = (30 + 18i + -6x + (-3ix + -5x + x2))(-5 + 3i + x)

Reorder the terms:
y = (30 + 18i + -3ix + -6x + -5x + x2)(-5 + 3i + x)

Combine like terms: -6x + -5x = -11x
y = (30 + 18i + -3ix + -11x + x2)(-5 + 3i + x)

Multiply (30 + 18i + -3ix + -11x + x2) * (-5 + 3i + x)
y = (30(-5 + 3i + x) + 18i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = ((-5 * 30 + 3i * 30 + x * 30) + 18i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = ((-150 + 90i + 30x) + 18i * (-5 + 3i + x) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + (-5 * 18i + 3i * 18i + x * 18i) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-150 + 90i + 30x + (-90i + 18ix + 54i2) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + (-90i + 18ix + 54i2) + -3ix * (-5 + 3i + x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + (-5 * -3ix + 3i * -3ix + x * -3ix) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + (15ix + -3ix2 + -9i2x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + (15ix + -3ix2 + -9i2x) + -11x * (-5 + 3i + x) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + (-5 * -11x + 3i * -11x + x * -11x) + x2(-5 + 3i + x))

Reorder the terms:
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + (-33ix + 55x + -11x2) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + (-33ix + 55x + -11x2) + x2(-5 + 3i + x))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + -33ix + 55x + -11x2 + (-5 * x2 + 3i * x2 + x * x2))

Reorder the terms:
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + -33ix + 55x + -11x2 + (3ix2 + -5x2 + x3))
y = (-150 + 90i + 30x + -90i + 18ix + 54i2 + 15ix + -3ix2 + -9i2x + -33ix + 55x + -11x2 + (3ix2 + -5x2 + x3))

Reorder the terms:
y = (-150 + 90i + -90i + 18ix + 15ix + -33ix + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)

Combine like terms: 90i + -90i = 0
y = (-150 + 0 + 18ix + 15ix + -33ix + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)
y = (-150 + 18ix + 15ix + -33ix + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)

Combine like terms: 18ix + 15ix = 33ix
y = (-150 + 33ix + -33ix + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)

Combine like terms: 33ix + -33ix = 0
y = (-150 + 0 + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)
y = (-150 + -3ix2 + 3ix2 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)

Combine like terms: -3ix2 + 3ix2 = 0
y = (-150 + 0 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)
y = (-150 + 54i2 + -9i2x + 30x + 55x + -11x2 + -5x2 + x3)

Combine like terms: 30x + 55x = 85x
y = (-150 + 54i2 + -9i2x + 85x + -11x2 + -5x2 + x3)

Combine like terms: -11x2 + -5x2 = -16x2
y = (-150 + 54i2 + -9i2x + 85x + -16x2 + x3)

Solving
y = -150 + 54i2 + -9i2x + 85x + -16x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -150 + 54i2 + -9i2x + 85x + -16x2 + x3

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