(x-8+2i)(x-8-2i)=0

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Solution for (x-8+2i)(x-8-2i)=0 equation: 


Simplifying
(x + -8 + 2i)(x + -8 + -2i) = 0

Reorder the terms:
(-8 + 2i + x)(x + -8 + -2i) = 0

Reorder the terms:
(-8 + 2i + x)(-8 + -2i + x) = 0

Multiply (-8 + 2i + x) * (-8 + -2i + x)
(-8(-8 + -2i + x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0
((-8 * -8 + -2i * -8 + x * -8) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0
((64 + 16i + -8x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0
(64 + 16i + -8x + (-8 * 2i + -2i * 2i + x * 2i) + x(-8 + -2i + x)) = 0

Reorder the terms:
(64 + 16i + -8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0
(64 + 16i + -8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0
(64 + 16i + -8x + -16i + 2ix + -4i2 + (-8 * x + -2i * x + x * x)) = 0

Reorder the terms:
(64 + 16i + -8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0
(64 + 16i + -8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0

Reorder the terms:
(64 + 16i + -16i + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0

Combine like terms: 16i + -16i = 0
(64 + 0 + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0
(64 + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0

Combine like terms: 2ix + -2ix = 0
(64 + 0 + -4i2 + -8x + -8x + x2) = 0
(64 + -4i2 + -8x + -8x + x2) = 0

Combine like terms: -8x + -8x = -16x
(64 + -4i2 + -16x + x2) = 0

Solving
64 + -4i2 + -16x + x2 = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -4i2 + -16x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -4i2 + -16x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -4i2 + -16x + x2 = 0 + -64
-4i2 + -16x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-4i2 + -16x + x2 = -64

Add '16x' to each side of the equation.
-4i2 + -16x + 16x + x2 = -64 + 16x

Combine like terms: -16x + 16x = 0
-4i2 + 0 + x2 = -64 + 16x
-4i2 + x2 = -64 + 16x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -64 + 16x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i2 + 0 = -64 + 16x + -1x2
-4i2 = -64 + 16x + -1x2

Divide each side by '-4'.
i2 = 16 + -4x + 0.25x2

Simplifying
i2 = 16 + -4x + 0.25x2

Reorder the terms:
-16 + i2 + 4x + -0.25x2 = 16 + -4x + 0.25x2 + -16 + 4x + -0.25x2

Reorder the terms:
-16 + i2 + 4x + -0.25x2 = 16 + -16 + -4x + 4x + 0.25x2 + -0.25x2

Combine like terms: 16 + -16 = 0
-16 + i2 + 4x + -0.25x2 = 0 + -4x + 4x + 0.25x2 + -0.25x2
-16 + i2 + 4x + -0.25x2 = -4x + 4x + 0.25x2 + -0.25x2

Combine like terms: -4x + 4x = 0
-16 + i2 + 4x + -0.25x2 = 0 + 0.25x2 + -0.25x2
-16 + i2 + 4x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-16 + i2 + 4x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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