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

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Solution for y=(x+4)(x-1+i)(x-1-i) equation: 


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -4x + -3x = -7x
y = (4 + -4i2 + -1i2x + -7x + 3x2 + -1x2 + x3)

Combine like terms: 3x2 + -1x2 = 2x2
y = (4 + -4i2 + -1i2x + -7x + 2x2 + x3)

Solving
y = 4 + -4i2 + -1i2x + -7x + 2x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 4 + -4i2 + -1i2x + -7x + 2x2 + x3

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