(x-(8+4i))(x-(8-4i))=0

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Solution for (x-(8+4i))(x-(8-4i))=0 equation: 


Simplifying
(x + -1(8 + 4i))(x + -1(8 + -4i)) = 0
(x + (8 * -1 + 4i * -1))(x + -1(8 + -4i)) = 0
(x + (-8 + -4i))(x + -1(8 + -4i)) = 0

Reorder the terms:
(-8 + -4i + x)(x + -1(8 + -4i)) = 0
(-8 + -4i + x)(x + (8 * -1 + -4i * -1)) = 0
(-8 + -4i + x)(x + (-8 + 4i)) = 0

Reorder the terms:
(-8 + -4i + x)(-8 + 4i + x) = 0

Multiply (-8 + -4i + x) * (-8 + 4i + x)
(-8(-8 + 4i + x) + -4i * (-8 + 4i + x) + x(-8 + 4i + x)) = 0
((-8 * -8 + 4i * -8 + x * -8) + -4i * (-8 + 4i + x) + x(-8 + 4i + x)) = 0
((64 + -32i + -8x) + -4i * (-8 + 4i + x) + x(-8 + 4i + x)) = 0
(64 + -32i + -8x + (-8 * -4i + 4i * -4i + x * -4i) + x(-8 + 4i + x)) = 0

Reorder the terms:
(64 + -32i + -8x + (32i + -4ix + -16i2) + x(-8 + 4i + x)) = 0
(64 + -32i + -8x + (32i + -4ix + -16i2) + x(-8 + 4i + x)) = 0
(64 + -32i + -8x + 32i + -4ix + -16i2 + (-8 * x + 4i * x + x * x)) = 0

Reorder the terms:
(64 + -32i + -8x + 32i + -4ix + -16i2 + (4ix + -8x + x2)) = 0
(64 + -32i + -8x + 32i + -4ix + -16i2 + (4ix + -8x + x2)) = 0

Reorder the terms:
(64 + -32i + 32i + -4ix + 4ix + -16i2 + -8x + -8x + x2) = 0

Combine like terms: -32i + 32i = 0
(64 + 0 + -4ix + 4ix + -16i2 + -8x + -8x + x2) = 0
(64 + -4ix + 4ix + -16i2 + -8x + -8x + x2) = 0

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

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

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

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

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

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

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

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

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

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

Divide each side by '-16'.
i2 = 4 + -1x + 0.0625x2

Simplifying
i2 = 4 + -1x + 0.0625x2

Reorder the terms:
-4 + i2 + x + -0.0625x2 = 4 + -1x + 0.0625x2 + -4 + x + -0.0625x2

Reorder the terms:
-4 + i2 + x + -0.0625x2 = 4 + -4 + -1x + x + 0.0625x2 + -0.0625x2

Combine like terms: 4 + -4 = 0
-4 + i2 + x + -0.0625x2 = 0 + -1x + x + 0.0625x2 + -0.0625x2
-4 + i2 + x + -0.0625x2 = -1x + x + 0.0625x2 + -0.0625x2

Combine like terms: -1x + x = 0
-4 + i2 + x + -0.0625x2 = 0 + 0.0625x2 + -0.0625x2
-4 + i2 + x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-4 + i2 + x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

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