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

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


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

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

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

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

Multiply (-4 + x) * (3 + i + x)
y = (-4(3 + i + x) + x(3 + i + x))(3 + -1i + x)
y = ((3 * -4 + i * -4 + x * -4) + x(3 + i + x))(3 + -1i + x)
y = ((-12 + -4i + -4x) + x(3 + i + x))(3 + -1i + x)
y = (-12 + -4i + -4x + (3 * x + i * x + x * x))(3 + -1i + x)

Reorder the terms:
y = (-12 + -4i + -4x + (ix + 3x + x2))(3 + -1i + x)
y = (-12 + -4i + -4x + (ix + 3x + x2))(3 + -1i + x)

Reorder the terms:
y = (-12 + -4i + ix + -4x + 3x + x2)(3 + -1i + x)

Combine like terms: -4x + 3x = -1x
y = (-12 + -4i + ix + -1x + x2)(3 + -1i + x)

Multiply (-12 + -4i + ix + -1x + x2) * (3 + -1i + x)
y = (-12(3 + -1i + x) + -4i * (3 + -1i + x) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = ((3 * -12 + -1i * -12 + x * -12) + -4i * (3 + -1i + x) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = ((-36 + 12i + -12x) + -4i * (3 + -1i + x) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + (3 * -4i + -1i * -4i + x * -4i) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))

Reorder the terms:
y = (-36 + 12i + -12x + (-12i + -4ix + 4i2) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + (-12i + -4ix + 4i2) + ix(3 + -1i + x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + (3 * ix + -1i * ix + x * ix) + -1x * (3 + -1i + x) + x2(3 + -1i + x))

Reorder the terms:
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + (3ix + ix2 + -1i2x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + (3ix + ix2 + -1i2x) + -1x * (3 + -1i + x) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + (3 * -1x + -1i * -1x + x * -1x) + x2(3 + -1i + x))

Reorder the terms:
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + (1ix + -3x + -1x2) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + (1ix + -3x + -1x2) + x2(3 + -1i + x))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + 1ix + -3x + -1x2 + (3 * x2 + -1i * x2 + x * x2))

Reorder the terms:
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + 1ix + -3x + -1x2 + (-1ix2 + 3x2 + x3))
y = (-36 + 12i + -12x + -12i + -4ix + 4i2 + 3ix + ix2 + -1i2x + 1ix + -3x + -1x2 + (-1ix2 + 3x2 + x3))

Reorder the terms:
y = (-36 + 12i + -12i + -4ix + 3ix + 1ix + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)

Combine like terms: 12i + -12i = 0
y = (-36 + 0 + -4ix + 3ix + 1ix + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)
y = (-36 + -4ix + 3ix + 1ix + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)

Combine like terms: -4ix + 3ix = -1ix
y = (-36 + -1ix + 1ix + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)

Combine like terms: -1ix + 1ix = 0
y = (-36 + 0 + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)
y = (-36 + ix2 + -1ix2 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)

Combine like terms: ix2 + -1ix2 = 0
y = (-36 + 0 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)
y = (-36 + 4i2 + -1i2x + -12x + -3x + -1x2 + 3x2 + x3)

Combine like terms: -12x + -3x = -15x
y = (-36 + 4i2 + -1i2x + -15x + -1x2 + 3x2 + x3)

Combine like terms: -1x2 + 3x2 = 2x2
y = (-36 + 4i2 + -1i2x + -15x + 2x2 + x3)

Solving
y = -36 + 4i2 + -1i2x + -15x + 2x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -36 + 4i2 + -1i2x + -15x + 2x2 + x3

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