(x-6)(x-2+2i)(x-2-2i)=0

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Solution for (x-6)(x-2+2i)(x-2-2i)=0 equation: 


Simplifying
(x + -6)(x + -2 + 2i)(x + -2 + -2i) = 0

Reorder the terms:
(-6 + x)(x + -2 + 2i)(x + -2 + -2i) = 0

Reorder the terms:
(-6 + x)(-2 + 2i + x)(x + -2 + -2i) = 0

Reorder the terms:
(-6 + x)(-2 + 2i + x)(-2 + -2i + x) = 0

Multiply (-6 + x) * (-2 + 2i + x)
(-6(-2 + 2i + x) + x(-2 + 2i + x))(-2 + -2i + x) = 0
((-2 * -6 + 2i * -6 + x * -6) + x(-2 + 2i + x))(-2 + -2i + x) = 0
((12 + -12i + -6x) + x(-2 + 2i + x))(-2 + -2i + x) = 0
(12 + -12i + -6x + (-2 * x + 2i * x + x * x))(-2 + -2i + x) = 0

Reorder the terms:
(12 + -12i + -6x + (2ix + -2x + x2))(-2 + -2i + x) = 0
(12 + -12i + -6x + (2ix + -2x + x2))(-2 + -2i + x) = 0

Reorder the terms:
(12 + -12i + 2ix + -6x + -2x + x2)(-2 + -2i + x) = 0

Combine like terms: -6x + -2x = -8x
(12 + -12i + 2ix + -8x + x2)(-2 + -2i + x) = 0

Multiply (12 + -12i + 2ix + -8x + x2) * (-2 + -2i + x)
(12(-2 + -2i + x) + -12i * (-2 + -2i + x) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
((-2 * 12 + -2i * 12 + x * 12) + -12i * (-2 + -2i + x) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
((-24 + -24i + 12x) + -12i * (-2 + -2i + x) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + (-2 * -12i + -2i * -12i + x * -12i) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0

Reorder the terms:
(-24 + -24i + 12x + (24i + -12ix + 24i2) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + (24i + -12ix + 24i2) + 2ix * (-2 + -2i + x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + (-2 * 2ix + -2i * 2ix + x * 2ix) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0

Reorder the terms:
(-24 + -24i + 12x + 24i + -12ix + 24i2 + (-4ix + 2ix2 + -4i2x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + (-4ix + 2ix2 + -4i2x) + -8x * (-2 + -2i + x) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + (-2 * -8x + -2i * -8x + x * -8x) + x2(-2 + -2i + x)) = 0

Reorder the terms:
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + (16ix + 16x + -8x2) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + (16ix + 16x + -8x2) + x2(-2 + -2i + x)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + 16ix + 16x + -8x2 + (-2 * x2 + -2i * x2 + x * x2)) = 0

Reorder the terms:
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + 16ix + 16x + -8x2 + (-2ix2 + -2x2 + x3)) = 0
(-24 + -24i + 12x + 24i + -12ix + 24i2 + -4ix + 2ix2 + -4i2x + 16ix + 16x + -8x2 + (-2ix2 + -2x2 + x3)) = 0

Reorder the terms:
(-24 + -24i + 24i + -12ix + -4ix + 16ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0

Combine like terms: -24i + 24i = 0
(-24 + 0 + -12ix + -4ix + 16ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0
(-24 + -12ix + -4ix + 16ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0

Combine like terms: -12ix + -4ix = -16ix
(-24 + -16ix + 16ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0

Combine like terms: -16ix + 16ix = 0
(-24 + 0 + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0
(-24 + 2ix2 + -2ix2 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0

Combine like terms: 2ix2 + -2ix2 = 0
(-24 + 0 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0
(-24 + 24i2 + -4i2x + 12x + 16x + -8x2 + -2x2 + x3) = 0

Combine like terms: 12x + 16x = 28x
(-24 + 24i2 + -4i2x + 28x + -8x2 + -2x2 + x3) = 0

Combine like terms: -8x2 + -2x2 = -10x2
(-24 + 24i2 + -4i2x + 28x + -10x2 + x3) = 0

Solving
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0

Solving for variable 'i'.

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

Add '24' to each side of the equation.
-24 + 24i2 + -4i2x + 28x + -10x2 + 24 + x3 = 0 + 24

Reorder the terms:
-24 + 24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0 + 24
24i2 + -4i2x + 28x + -10x2 + x3 = 0 + 24

Combine like terms: 0 + 24 = 24
24i2 + -4i2x + 28x + -10x2 + x3 = 24

Add '-28x' to each side of the equation.
24i2 + -4i2x + 28x + -10x2 + -28x + x3 = 24 + -28x

Reorder the terms:
24i2 + -4i2x + 28x + -28x + -10x2 + x3 = 24 + -28x

Combine like terms: 28x + -28x = 0
24i2 + -4i2x + 0 + -10x2 + x3 = 24 + -28x
24i2 + -4i2x + -10x2 + x3 = 24 + -28x

Add '10x2' to each side of the equation.
24i2 + -4i2x + -10x2 + 10x2 + x3 = 24 + -28x + 10x2

Combine like terms: -10x2 + 10x2 = 0
24i2 + -4i2x + 0 + x3 = 24 + -28x + 10x2
24i2 + -4i2x + x3 = 24 + -28x + 10x2

Add '-1x3' to each side of the equation.
24i2 + -4i2x + x3 + -1x3 = 24 + -28x + 10x2 + -1x3

Combine like terms: x3 + -1x3 = 0
24i2 + -4i2x + 0 = 24 + -28x + 10x2 + -1x3
24i2 + -4i2x = 24 + -28x + 10x2 + -1x3

Reorder the terms:
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 24 + -28x + 10x2 + -1x3 + -24 + 28x + -10x2 + x3

Reorder the terms:
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 24 + -24 + -28x + 28x + 10x2 + -10x2 + -1x3 + x3

Combine like terms: 24 + -24 = 0
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0 + -28x + 28x + 10x2 + -10x2 + -1x3 + x3
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = -28x + 28x + 10x2 + -10x2 + -1x3 + x3

Combine like terms: -28x + 28x = 0
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0 + 10x2 + -10x2 + -1x3 + x3
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 10x2 + -10x2 + -1x3 + x3

Combine like terms: 10x2 + -10x2 = 0
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0 + -1x3 + x3
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-24 + 24i2 + -4i2x + 28x + -10x2 + x3 = 0

The solution to this equation could not be determined.

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