0=(x+2)(x+2i)(x-2i)

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Solution for 0=(x+2)(x+2i)(x-2i) equation: 


Simplifying
0 = (x + 2)(x + 2i)(x + -2i)

Reorder the terms:
0 = (2 + x)(x + 2i)(x + -2i)

Reorder the terms:
0 = (2 + x)(2i + x)(x + -2i)

Reorder the terms:
0 = (2 + x)(2i + x)(-2i + x)

Multiply (2 + x) * (2i + x)
0 = (2(2i + x) + x(2i + x))(-2i + x)
0 = ((2i * 2 + x * 2) + x(2i + x))(-2i + x)
0 = ((4i + 2x) + x(2i + x))(-2i + x)
0 = (4i + 2x + (2i * x + x * x))(-2i + x)
0 = (4i + 2x + (2ix + x2))(-2i + x)

Reorder the terms:
0 = (4i + 2ix + 2x + x2)(-2i + x)
0 = (4i + 2ix + 2x + x2)(-2i + x)

Multiply (4i + 2ix + 2x + x2) * (-2i + x)
0 = (4i * (-2i + x) + 2ix * (-2i + x) + 2x * (-2i + x) + x2(-2i + x))
0 = ((-2i * 4i + x * 4i) + 2ix * (-2i + x) + 2x * (-2i + x) + x2(-2i + x))

Reorder the terms:
0 = ((4ix + -8i2) + 2ix * (-2i + x) + 2x * (-2i + x) + x2(-2i + x))
0 = ((4ix + -8i2) + 2ix * (-2i + x) + 2x * (-2i + x) + x2(-2i + x))
0 = (4ix + -8i2 + (-2i * 2ix + x * 2ix) + 2x * (-2i + x) + x2(-2i + x))

Reorder the terms:
0 = (4ix + -8i2 + (2ix2 + -4i2x) + 2x * (-2i + x) + x2(-2i + x))
0 = (4ix + -8i2 + (2ix2 + -4i2x) + 2x * (-2i + x) + x2(-2i + x))
0 = (4ix + -8i2 + 2ix2 + -4i2x + (-2i * 2x + x * 2x) + x2(-2i + x))
0 = (4ix + -8i2 + 2ix2 + -4i2x + (-4ix + 2x2) + x2(-2i + x))
0 = (4ix + -8i2 + 2ix2 + -4i2x + -4ix + 2x2 + (-2i * x2 + x * x2))
0 = (4ix + -8i2 + 2ix2 + -4i2x + -4ix + 2x2 + (-2ix2 + x3))

Reorder the terms:
0 = (4ix + -4ix + 2ix2 + -2ix2 + -8i2 + -4i2x + 2x2 + x3)

Combine like terms: 4ix + -4ix = 0
0 = (0 + 2ix2 + -2ix2 + -8i2 + -4i2x + 2x2 + x3)
0 = (2ix2 + -2ix2 + -8i2 + -4i2x + 2x2 + x3)

Combine like terms: 2ix2 + -2ix2 = 0
0 = (0 + -8i2 + -4i2x + 2x2 + x3)
0 = (-8i2 + -4i2x + 2x2 + x3)

Solving
0 = -8i2 + -4i2x + 2x2 + x3

Solving for variable 'i'.

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

Add '8i2' to each side of the equation.
0 + 8i2 = -8i2 + -4i2x + 2x2 + 8i2 + x3
Remove the zero:
8i2 = -8i2 + -4i2x + 2x2 + 8i2 + x3

Reorder the terms:
8i2 = -8i2 + 8i2 + -4i2x + 2x2 + x3

Combine like terms: -8i2 + 8i2 = 0
8i2 = 0 + -4i2x + 2x2 + x3
8i2 = -4i2x + 2x2 + x3

Add '4i2x' to each side of the equation.
8i2 + 4i2x = -4i2x + 2x2 + 4i2x + x3

Reorder the terms:
8i2 + 4i2x = -4i2x + 4i2x + 2x2 + x3

Combine like terms: -4i2x + 4i2x = 0
8i2 + 4i2x = 0 + 2x2 + x3
8i2 + 4i2x = 2x2 + x3

Reorder the terms:
8i2 + 4i2x + -2x2 + -1x3 = 2x2 + -2x2 + x3 + -1x3

Combine like terms: 2x2 + -2x2 = 0
8i2 + 4i2x + -2x2 + -1x3 = 0 + x3 + -1x3
8i2 + 4i2x + -2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
8i2 + 4i2x + -2x2 + -1x3 = 0

The solution to this equation could not be determined.

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