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

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


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

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

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

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

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

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

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

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

Multiply (-4i2 + x2) * (-2 + x)
(-4i2 * (-2 + x) + x2(-2 + x)) = 0
((-2 * -4i2 + x * -4i2) + x2(-2 + x)) = 0
((8i2 + -4i2x) + x2(-2 + x)) = 0
(8i2 + -4i2x + (-2 * x2 + x * x2)) = 0
(8i2 + -4i2x + (-2x2 + x3)) = 0
(8i2 + -4i2x + -2x2 + x3) = 0

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

Solving for variable 'i'.

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

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

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

Add '-1x3' to each side of the equation.
8i2 + -4i2x + x3 + -1x3 = 2x2 + -1x3

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

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

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

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

The solution to this equation could not be determined.

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