y=(x-8)(x+14)(x-(3+9i))(x-(3-9i))

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Solution for y=(x-8)(x+14)(x-(3+9i))(x-(3-9i)) equation:


Simplifying
y = (x + -8)(x + 14)(x + -1(3 + 9i))(x + -1(3 + -9i))

Reorder the terms:
y = (-8 + x)(x + 14)(x + -1(3 + 9i))(x + -1(3 + -9i))

Reorder the terms:
y = (-8 + x)(14 + x)(x + -1(3 + 9i))(x + -1(3 + -9i))
y = (-8 + x)(14 + x)(x + (3 * -1 + 9i * -1))(x + -1(3 + -9i))
y = (-8 + x)(14 + x)(x + (-3 + -9i))(x + -1(3 + -9i))

Reorder the terms:
y = (-8 + x)(14 + x)(-3 + -9i + x)(x + -1(3 + -9i))
y = (-8 + x)(14 + x)(-3 + -9i + x)(x + (3 * -1 + -9i * -1))
y = (-8 + x)(14 + x)(-3 + -9i + x)(x + (-3 + 9i))

Reorder the terms:
y = (-8 + x)(14 + x)(-3 + -9i + x)(-3 + 9i + x)

Multiply (-8 + x) * (14 + x)
y = (-8(14 + x) + x(14 + x))(-3 + -9i + x)(-3 + 9i + x)
y = ((14 * -8 + x * -8) + x(14 + x))(-3 + -9i + x)(-3 + 9i + x)
y = ((-112 + -8x) + x(14 + x))(-3 + -9i + x)(-3 + 9i + x)
y = (-112 + -8x + (14 * x + x * x))(-3 + -9i + x)(-3 + 9i + x)
y = (-112 + -8x + (14x + x2))(-3 + -9i + x)(-3 + 9i + x)

Combine like terms: -8x + 14x = 6x
y = (-112 + 6x + x2)(-3 + -9i + x)(-3 + 9i + x)

Multiply (-112 + 6x + x2) * (-3 + -9i + x)
y = (-112(-3 + -9i + x) + 6x * (-3 + -9i + x) + x2(-3 + -9i + x))(-3 + 9i + x)
y = ((-3 * -112 + -9i * -112 + x * -112) + 6x * (-3 + -9i + x) + x2(-3 + -9i + x))(-3 + 9i + x)
y = ((336 + 1008i + -112x) + 6x * (-3 + -9i + x) + x2(-3 + -9i + x))(-3 + 9i + x)
y = (336 + 1008i + -112x + (-3 * 6x + -9i * 6x + x * 6x) + x2(-3 + -9i + x))(-3 + 9i + x)

Reorder the terms:
y = (336 + 1008i + -112x + (-54ix + -18x + 6x2) + x2(-3 + -9i + x))(-3 + 9i + x)
y = (336 + 1008i + -112x + (-54ix + -18x + 6x2) + x2(-3 + -9i + x))(-3 + 9i + x)
y = (336 + 1008i + -112x + -54ix + -18x + 6x2 + (-3 * x2 + -9i * x2 + x * x2))(-3 + 9i + x)

Reorder the terms:
y = (336 + 1008i + -112x + -54ix + -18x + 6x2 + (-9ix2 + -3x2 + x3))(-3 + 9i + x)
y = (336 + 1008i + -112x + -54ix + -18x + 6x2 + (-9ix2 + -3x2 + x3))(-3 + 9i + x)

Reorder the terms:
y = (336 + 1008i + -54ix + -9ix2 + -112x + -18x + 6x2 + -3x2 + x3)(-3 + 9i + x)

Combine like terms: -112x + -18x = -130x
y = (336 + 1008i + -54ix + -9ix2 + -130x + 6x2 + -3x2 + x3)(-3 + 9i + x)

Combine like terms: 6x2 + -3x2 = 3x2
y = (336 + 1008i + -54ix + -9ix2 + -130x + 3x2 + x3)(-3 + 9i + x)

Multiply (336 + 1008i + -54ix + -9ix2 + -130x + 3x2 + x3) * (-3 + 9i + x)
y = (336(-3 + 9i + x) + 1008i * (-3 + 9i + x) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = ((-3 * 336 + 9i * 336 + x * 336) + 1008i * (-3 + 9i + x) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = ((-1008 + 3024i + 336x) + 1008i * (-3 + 9i + x) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + (-3 * 1008i + 9i * 1008i + x * 1008i) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))

Reorder the terms:
y = (-1008 + 3024i + 336x + (-3024i + 1008ix + 9072i2) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + (-3024i + 1008ix + 9072i2) + -54ix * (-3 + 9i + x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + (-3 * -54ix + 9i * -54ix + x * -54ix) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))

Reorder the terms:
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + (162ix + -54ix2 + -486i2x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + (162ix + -54ix2 + -486i2x) + -9ix2 * (-3 + 9i + x) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + (-3 * -9ix2 + 9i * -9ix2 + x * -9ix2) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))

Reorder the terms:
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + (27ix2 + -9ix3 + -81i2x2) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + (27ix2 + -9ix3 + -81i2x2) + -130x * (-3 + 9i + x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + (-3 * -130x + 9i * -130x + x * -130x) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))

Reorder the terms:
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + (-1170ix + 390x + -130x2) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + (-1170ix + 390x + -130x2) + 3x2 * (-3 + 9i + x) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + (-3 * 3x2 + 9i * 3x2 + x * 3x2) + x3(-3 + 9i + x))

Reorder the terms:
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + (27ix2 + -9x2 + 3x3) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + (27ix2 + -9x2 + 3x3) + x3(-3 + 9i + x))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + 27ix2 + -9x2 + 3x3 + (-3 * x3 + 9i * x3 + x * x3))

Reorder the terms:
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + 27ix2 + -9x2 + 3x3 + (9ix3 + -3x3 + x4))
y = (-1008 + 3024i + 336x + -3024i + 1008ix + 9072i2 + 162ix + -54ix2 + -486i2x + 27ix2 + -9ix3 + -81i2x2 + -1170ix + 390x + -130x2 + 27ix2 + -9x2 + 3x3 + (9ix3 + -3x3 + x4))

Reorder the terms:
y = (-1008 + 3024i + -3024i + 1008ix + 162ix + -1170ix + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: 3024i + -3024i = 0
y = (-1008 + 0 + 1008ix + 162ix + -1170ix + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)
y = (-1008 + 1008ix + 162ix + -1170ix + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: 1008ix + 162ix = 1170ix
y = (-1008 + 1170ix + -1170ix + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: 1170ix + -1170ix = 0
y = (-1008 + 0 + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)
y = (-1008 + -54ix2 + 27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: -54ix2 + 27ix2 = -27ix2
y = (-1008 + -27ix2 + 27ix2 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: -27ix2 + 27ix2 = 0
y = (-1008 + 0 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)
y = (-1008 + -9ix3 + 9ix3 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: -9ix3 + 9ix3 = 0
y = (-1008 + 0 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)
y = (-1008 + 9072i2 + -486i2x + -81i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: 336x + 390x = 726x
y = (-1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -130x2 + -9x2 + 3x3 + -3x3 + x4)

Combine like terms: -130x2 + -9x2 = -139x2
y = (-1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -139x2 + 3x3 + -3x3 + x4)

Combine like terms: 3x3 + -3x3 = 0
y = (-1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -139x2 + 0 + x4)
y = (-1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -139x2 + x4)

Solving
y = -1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -139x2 + x4

Solving for variable 'y'.

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

Simplifying
y = -1008 + 9072i2 + -486i2x + -81i2x2 + 726x + -139x2 + x4

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