(x-1)(x+2i)(x-2i)=0

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Solution for (x-1)(x+2i)(x-2i)=0 equation: 


Simplifying
(x + -1)(x + 2i)(x + -2i) = 0

Reorder the terms:
(-1 + x)(x + 2i)(x + -2i) = 0

Reorder the terms:
(-1 + x)(2i + x)(x + -2i) = 0

Reorder the terms:
(-1 + x)(2i + x)(-2i + x) = 0

Multiply (-1 + x) * (2i + x)
(-1(2i + x) + x(2i + x))(-2i + x) = 0
((2i * -1 + x * -1) + x(2i + x))(-2i + x) = 0
((-2i + -1x) + x(2i + x))(-2i + x) = 0
(-2i + -1x + (2i * x + x * x))(-2i + x) = 0
(-2i + -1x + (2ix + x2))(-2i + x) = 0

Reorder the terms:
(-2i + 2ix + -1x + x2)(-2i + x) = 0
(-2i + 2ix + -1x + x2)(-2i + x) = 0

Multiply (-2i + 2ix + -1x + x2) * (-2i + x)
(-2i * (-2i + x) + 2ix * (-2i + x) + -1x * (-2i + x) + x2(-2i + x)) = 0
((-2i * -2i + x * -2i) + 2ix * (-2i + x) + -1x * (-2i + x) + x2(-2i + x)) = 0

Reorder the terms:
((-2ix + 4i2) + 2ix * (-2i + x) + -1x * (-2i + x) + x2(-2i + x)) = 0
((-2ix + 4i2) + 2ix * (-2i + x) + -1x * (-2i + x) + x2(-2i + x)) = 0
(-2ix + 4i2 + (-2i * 2ix + x * 2ix) + -1x * (-2i + x) + x2(-2i + x)) = 0

Reorder the terms:
(-2ix + 4i2 + (2ix2 + -4i2x) + -1x * (-2i + x) + x2(-2i + x)) = 0
(-2ix + 4i2 + (2ix2 + -4i2x) + -1x * (-2i + x) + x2(-2i + x)) = 0
(-2ix + 4i2 + 2ix2 + -4i2x + (-2i * -1x + x * -1x) + x2(-2i + x)) = 0
(-2ix + 4i2 + 2ix2 + -4i2x + (2ix + -1x2) + x2(-2i + x)) = 0
(-2ix + 4i2 + 2ix2 + -4i2x + 2ix + -1x2 + (-2i * x2 + x * x2)) = 0
(-2ix + 4i2 + 2ix2 + -4i2x + 2ix + -1x2 + (-2ix2 + x3)) = 0

Reorder the terms:
(-2ix + 2ix + 2ix2 + -2ix2 + 4i2 + -4i2x + -1x2 + x3) = 0

Combine like terms: -2ix + 2ix = 0
(0 + 2ix2 + -2ix2 + 4i2 + -4i2x + -1x2 + x3) = 0
(2ix2 + -2ix2 + 4i2 + -4i2x + -1x2 + x3) = 0

Combine like terms: 2ix2 + -2ix2 = 0
(0 + 4i2 + -4i2x + -1x2 + x3) = 0
(4i2 + -4i2x + -1x2 + x3) = 0

Solving
4i2 + -4i2x + -1x2 + x3 = 0

Solving for variable 'i'.

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

Add 'x2' to each side of the equation.
4i2 + -4i2x + -1x2 + x2 + x3 = 0 + x2

Combine like terms: -1x2 + x2 = 0
4i2 + -4i2x + 0 + x3 = 0 + x2
4i2 + -4i2x + x3 = 0 + x2
Remove the zero:
4i2 + -4i2x + x3 = x2

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

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

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

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

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

The solution to this equation could not be determined.

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