(x-4-4i)(x-4+4i)=0

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Solution for (x-4-4i)(x-4+4i)=0 equation: 


Simplifying
(x + -4 + -4i)(x + -4 + 4i) = 0

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

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

Multiply (-4 + -4i + x) * (-4 + 4i + x)
(-4(-4 + 4i + x) + -4i * (-4 + 4i + x) + x(-4 + 4i + x)) = 0
((-4 * -4 + 4i * -4 + x * -4) + -4i * (-4 + 4i + x) + x(-4 + 4i + x)) = 0
((16 + -16i + -4x) + -4i * (-4 + 4i + x) + x(-4 + 4i + x)) = 0
(16 + -16i + -4x + (-4 * -4i + 4i * -4i + x * -4i) + x(-4 + 4i + x)) = 0

Reorder the terms:
(16 + -16i + -4x + (16i + -4ix + -16i2) + x(-4 + 4i + x)) = 0
(16 + -16i + -4x + (16i + -4ix + -16i2) + x(-4 + 4i + x)) = 0
(16 + -16i + -4x + 16i + -4ix + -16i2 + (-4 * x + 4i * x + x * x)) = 0

Reorder the terms:
(16 + -16i + -4x + 16i + -4ix + -16i2 + (4ix + -4x + x2)) = 0
(16 + -16i + -4x + 16i + -4ix + -16i2 + (4ix + -4x + x2)) = 0

Reorder the terms:
(16 + -16i + 16i + -4ix + 4ix + -16i2 + -4x + -4x + x2) = 0

Combine like terms: -16i + 16i = 0
(16 + 0 + -4ix + 4ix + -16i2 + -4x + -4x + x2) = 0
(16 + -4ix + 4ix + -16i2 + -4x + -4x + x2) = 0

Combine like terms: -4ix + 4ix = 0
(16 + 0 + -16i2 + -4x + -4x + x2) = 0
(16 + -16i2 + -4x + -4x + x2) = 0

Combine like terms: -4x + -4x = -8x
(16 + -16i2 + -8x + x2) = 0

Solving
16 + -16i2 + -8x + x2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16i2 + -8x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -16i2 + -8x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -16i2 + -8x + x2 = 0 + -16
-16i2 + -8x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-16i2 + -8x + x2 = -16

Add '8x' to each side of the equation.
-16i2 + -8x + 8x + x2 = -16 + 8x

Combine like terms: -8x + 8x = 0
-16i2 + 0 + x2 = -16 + 8x
-16i2 + x2 = -16 + 8x

Add '-1x2' to each side of the equation.
-16i2 + x2 + -1x2 = -16 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
-16i2 + 0 = -16 + 8x + -1x2
-16i2 = -16 + 8x + -1x2

Divide each side by '-16'.
i2 = 1 + -0.5x + 0.0625x2

Simplifying
i2 = 1 + -0.5x + 0.0625x2

Reorder the terms:
-1 + i2 + 0.5x + -0.0625x2 = 1 + -0.5x + 0.0625x2 + -1 + 0.5x + -0.0625x2

Reorder the terms:
-1 + i2 + 0.5x + -0.0625x2 = 1 + -1 + -0.5x + 0.5x + 0.0625x2 + -0.0625x2

Combine like terms: 1 + -1 = 0
-1 + i2 + 0.5x + -0.0625x2 = 0 + -0.5x + 0.5x + 0.0625x2 + -0.0625x2
-1 + i2 + 0.5x + -0.0625x2 = -0.5x + 0.5x + 0.0625x2 + -0.0625x2

Combine like terms: -0.5x + 0.5x = 0.0
-1 + i2 + 0.5x + -0.0625x2 = 0.0 + 0.0625x2 + -0.0625x2
-1 + i2 + 0.5x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-1 + i2 + 0.5x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

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