y=(x+1)*[x-(4-3i)]*[x-(4+3i)]

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Solution for y=(x+1)*[x-(4-3i)]*[x-(4+3i)] equation: 


Simplifying
y = (x + 1)[x + -1(4 + -3i)][x + -1(4 + 3i)]

Reorder the terms:
y = (1 + x)[x + -1(4 + -3i)][x + -1(4 + 3i)]
y = (1 + x)[x + (4 * -1 + -3i * -1)][x + -1(4 + 3i)]
y = (1 + x)[x + (-4 + 3i)][x + -1(4 + 3i)]

Reorder the terms:
y = (1 + x)[-4 + 3i + x][x + -1(4 + 3i)]
y = (1 + x)[-4 + 3i + x][x + (4 * -1 + 3i * -1)]
y = (1 + x)[-4 + 3i + x][x + (-4 + -3i)]

Reorder the terms:
y = (1 + x)[-4 + 3i + x][-4 + -3i + x]

Multiply (1 + x) * [-4 + 3i + x]
y = (1[-4 + 3i + x] + x[-4 + 3i + x])[-4 + -3i + x]
y = ([-4 * 1 + 3i * 1 + x * 1] + x[-4 + 3i + x])[-4 + -3i + x]
y = ([-4 + 3i + 1x] + x[-4 + 3i + x])[-4 + -3i + x]
y = (-4 + 3i + 1x + [-4 * x + 3i * x + x * x])[-4 + -3i + x]

Reorder the terms:
y = (-4 + 3i + 1x + [3ix + -4x + x2])[-4 + -3i + x]
y = (-4 + 3i + 1x + [3ix + -4x + x2])[-4 + -3i + x]

Reorder the terms:
y = (-4 + 3i + 3ix + 1x + -4x + x2)[-4 + -3i + x]

Combine like terms: 1x + -4x = -3x
y = (-4 + 3i + 3ix + -3x + x2)[-4 + -3i + x]

Multiply (-4 + 3i + 3ix + -3x + x2) * [-4 + -3i + x]
y = (-4[-4 + -3i + x] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = ([-4 * -4 + -3i * -4 + x * -4] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = ([16 + 12i + -4x] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + [-4 * 3i + -3i * 3i + x * 3i] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])

Reorder the terms:
y = (16 + 12i + -4x + [-12i + 3ix + -9i2] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + [-12i + 3ix + -9i2] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + [-4 * 3ix + -3i * 3ix + x * 3ix] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])

Reorder the terms:
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + [-12ix + 3ix2 + -9i2x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + [-12ix + 3ix2 + -9i2x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [-4 * -3x + -3i * -3x + x * -3x] + x2[-4 + -3i + x])

Reorder the terms:
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [9ix + 12x + -3x2] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [9ix + 12x + -3x2] + x2[-4 + -3i + x])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-4 * x2 + -3i * x2 + x * x2])

Reorder the terms:
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-3ix2 + -4x2 + x3])
y = (16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-3ix2 + -4x2 + x3])

Reorder the terms:
y = (16 + 12i + -12i + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)

Combine like terms: 12i + -12i = 0
y = (16 + 0 + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)
y = (16 + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)

Combine like terms: 3ix + -12ix = -9ix
y = (16 + -9ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)

Combine like terms: -9ix + 9ix = 0
y = (16 + 0 + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)
y = (16 + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)

Combine like terms: 3ix2 + -3ix2 = 0
y = (16 + 0 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)
y = (16 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3)

Combine like terms: -4x + 12x = 8x
y = (16 + -9i2 + -9i2x + 8x + -3x2 + -4x2 + x3)

Combine like terms: -3x2 + -4x2 = -7x2
y = (16 + -9i2 + -9i2x + 8x + -7x2 + x3)

Solving
y = 16 + -9i2 + -9i2x + 8x + -7x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 16 + -9i2 + -9i2x + 8x + -7x2 + x3

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