y=(x+(2+i))(x+(2-i))(x+5)

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Solution for y=(x+(2+i))(x+(2-i))(x+5) equation: 


Simplifying
y = (x + (2 + i))(x + (2 + -1i))(x + 5)

Remove parenthesis around (2 + i)
y = (x + 2 + i)(x + (2 + -1i))(x + 5)

Reorder the terms:
y = (2 + i + x)(x + (2 + -1i))(x + 5)

Remove parenthesis around (2 + -1i)
y = (2 + i + x)(x + 2 + -1i)(x + 5)

Reorder the terms:
y = (2 + i + x)(2 + -1i + x)(x + 5)

Reorder the terms:
y = (2 + i + x)(2 + -1i + x)(5 + x)

Multiply (2 + i + x) * (2 + -1i + x)
y = (2(2 + -1i + x) + i(2 + -1i + x) + x(2 + -1i + x))(5 + x)
y = ((2 * 2 + -1i * 2 + x * 2) + i(2 + -1i + x) + x(2 + -1i + x))(5 + x)
y = ((4 + -2i + 2x) + i(2 + -1i + x) + x(2 + -1i + x))(5 + x)
y = (4 + -2i + 2x + (2 * i + -1i * i + x * i) + x(2 + -1i + x))(5 + x)

Reorder the terms:
y = (4 + -2i + 2x + (2i + ix + -1i2) + x(2 + -1i + x))(5 + x)
y = (4 + -2i + 2x + (2i + ix + -1i2) + x(2 + -1i + x))(5 + x)
y = (4 + -2i + 2x + 2i + ix + -1i2 + (2 * x + -1i * x + x * x))(5 + x)

Reorder the terms:
y = (4 + -2i + 2x + 2i + ix + -1i2 + (-1ix + 2x + x2))(5 + x)
y = (4 + -2i + 2x + 2i + ix + -1i2 + (-1ix + 2x + x2))(5 + x)

Reorder the terms:
y = (4 + -2i + 2i + ix + -1ix + -1i2 + 2x + 2x + x2)(5 + x)

Combine like terms: -2i + 2i = 0
y = (4 + 0 + ix + -1ix + -1i2 + 2x + 2x + x2)(5 + x)
y = (4 + ix + -1ix + -1i2 + 2x + 2x + x2)(5 + x)

Combine like terms: ix + -1ix = 0
y = (4 + 0 + -1i2 + 2x + 2x + x2)(5 + x)
y = (4 + -1i2 + 2x + 2x + x2)(5 + x)

Combine like terms: 2x + 2x = 4x
y = (4 + -1i2 + 4x + x2)(5 + x)

Multiply (4 + -1i2 + 4x + x2) * (5 + x)
y = (4(5 + x) + -1i2 * (5 + x) + 4x * (5 + x) + x2(5 + x))
y = ((5 * 4 + x * 4) + -1i2 * (5 + x) + 4x * (5 + x) + x2(5 + x))
y = ((20 + 4x) + -1i2 * (5 + x) + 4x * (5 + x) + x2(5 + x))
y = (20 + 4x + (5 * -1i2 + x * -1i2) + 4x * (5 + x) + x2(5 + x))
y = (20 + 4x + (-5i2 + -1i2x) + 4x * (5 + x) + x2(5 + x))
y = (20 + 4x + -5i2 + -1i2x + (5 * 4x + x * 4x) + x2(5 + x))
y = (20 + 4x + -5i2 + -1i2x + (20x + 4x2) + x2(5 + x))
y = (20 + 4x + -5i2 + -1i2x + 20x + 4x2 + (5 * x2 + x * x2))
y = (20 + 4x + -5i2 + -1i2x + 20x + 4x2 + (5x2 + x3))

Reorder the terms:
y = (20 + -5i2 + -1i2x + 4x + 20x + 4x2 + 5x2 + x3)

Combine like terms: 4x + 20x = 24x
y = (20 + -5i2 + -1i2x + 24x + 4x2 + 5x2 + x3)

Combine like terms: 4x2 + 5x2 = 9x2
y = (20 + -5i2 + -1i2x + 24x + 9x2 + x3)

Solving
y = 20 + -5i2 + -1i2x + 24x + 9x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 20 + -5i2 + -1i2x + 24x + 9x2 + x3

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