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

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


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

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

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

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

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

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

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

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

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

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

Solving
4 + -4i2 + 4x + x2 = 0

Solving for variable 'i'.

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

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

Reorder the terms:
4 + -4 + -4i2 + 4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4i2 + 4x + x2 = 0 + -4
-4i2 + 4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4i2 + 4x + x2 = -4

Add '-4x' to each side of the equation.
-4i2 + 4x + -4x + x2 = -4 + -4x

Combine like terms: 4x + -4x = 0
-4i2 + 0 + x2 = -4 + -4x
-4i2 + x2 = -4 + -4x

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

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

Divide each side by '-4'.
i2 = 1 + x + 0.25x2

Simplifying
i2 = 1 + x + 0.25x2

Reorder the terms:
-1 + i2 + -1x + -0.25x2 = 1 + x + 0.25x2 + -1 + -1x + -0.25x2

Reorder the terms:
-1 + i2 + -1x + -0.25x2 = 1 + -1 + x + -1x + 0.25x2 + -0.25x2

Combine like terms: 1 + -1 = 0
-1 + i2 + -1x + -0.25x2 = 0 + x + -1x + 0.25x2 + -0.25x2
-1 + i2 + -1x + -0.25x2 = x + -1x + 0.25x2 + -0.25x2

Combine like terms: x + -1x = 0
-1 + i2 + -1x + -0.25x2 = 0 + 0.25x2 + -0.25x2
-1 + i2 + -1x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-1 + i2 + -1x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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