(X-4+2i)(x-4+2i)=0

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Solution for (X-4+2i)(x-4+2i)=0 equation: 


Simplifying
(X + -4 + 2i)(x + -4 + 2i) = 0

Reorder the terms:
(-4 + X + 2i)(x + -4 + 2i) = 0

Reorder the terms:
(-4 + X + 2i)(-4 + 2i + x) = 0

Multiply (-4 + X + 2i) * (-4 + 2i + x)
(-4(-4 + 2i + x) + X(-4 + 2i + x) + 2i * (-4 + 2i + x)) = 0
((-4 * -4 + 2i * -4 + x * -4) + X(-4 + 2i + x) + 2i * (-4 + 2i + x)) = 0
((16 + -8i + -4x) + X(-4 + 2i + x) + 2i * (-4 + 2i + x)) = 0
(16 + -8i + -4x + (-4 * X + 2i * X + x * X) + 2i * (-4 + 2i + x)) = 0
(16 + -8i + -4x + (-4X + 2iX + xX) + 2i * (-4 + 2i + x)) = 0
(16 + -8i + -4x + -4X + 2iX + xX + (-4 * 2i + 2i * 2i + x * 2i)) = 0

Reorder the terms:
(16 + -8i + -4x + -4X + 2iX + xX + (-8i + 2ix + 4i2)) = 0
(16 + -8i + -4x + -4X + 2iX + xX + (-8i + 2ix + 4i2)) = 0

Reorder the terms:
(16 + -4X + -8i + -8i + 2iX + 2ix + 4i2 + -4x + xX) = 0

Combine like terms: -8i + -8i = -16i
(16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX) = 0

Solving
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + -16 + xX = 0 + -16

Reorder the terms:
16 + -16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + -16
-4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + -16

Combine like terms: 0 + -16 = -16
-4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = -16

Add '16i' to each side of the equation.
-4X + -16i + 2iX + 2ix + 4i2 + -4x + 16i + xX = -16 + 16i

Reorder the terms:
-4X + -16i + 16i + 2iX + 2ix + 4i2 + -4x + xX = -16 + 16i

Combine like terms: -16i + 16i = 0
-4X + 0 + 2iX + 2ix + 4i2 + -4x + xX = -16 + 16i
-4X + 2iX + 2ix + 4i2 + -4x + xX = -16 + 16i

Add '-2ix' to each side of the equation.
-4X + 2iX + 2ix + 4i2 + -4x + -2ix + xX = -16 + 16i + -2ix

Reorder the terms:
-4X + 2iX + 2ix + -2ix + 4i2 + -4x + xX = -16 + 16i + -2ix

Combine like terms: 2ix + -2ix = 0
-4X + 2iX + 0 + 4i2 + -4x + xX = -16 + 16i + -2ix
-4X + 2iX + 4i2 + -4x + xX = -16 + 16i + -2ix

Add '-4i2' to each side of the equation.
-4X + 2iX + 4i2 + -4x + -4i2 + xX = -16 + 16i + -2ix + -4i2

Reorder the terms:
-4X + 2iX + 4i2 + -4i2 + -4x + xX = -16 + 16i + -2ix + -4i2

Combine like terms: 4i2 + -4i2 = 0
-4X + 2iX + 0 + -4x + xX = -16 + 16i + -2ix + -4i2
-4X + 2iX + -4x + xX = -16 + 16i + -2ix + -4i2

Add '4x' to each side of the equation.
-4X + 2iX + -4x + 4x + xX = -16 + 16i + -2ix + -4i2 + 4x

Combine like terms: -4x + 4x = 0
-4X + 2iX + 0 + xX = -16 + 16i + -2ix + -4i2 + 4x
-4X + 2iX + xX = -16 + 16i + -2ix + -4i2 + 4x

Reorder the terms:
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = -16 + 16i + -2ix + -4i2 + 4x + 16 + -16i + 2ix + 4i2 + -4x

Reorder the terms:
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = -16 + 16 + 16i + -16i + -2ix + 2ix + -4i2 + 4i2 + 4x + -4x

Combine like terms: -16 + 16 = 0
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + 16i + -16i + -2ix + 2ix + -4i2 + 4i2 + 4x + -4x
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 16i + -16i + -2ix + 2ix + -4i2 + 4i2 + 4x + -4x

Combine like terms: 16i + -16i = 0
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + -2ix + 2ix + -4i2 + 4i2 + 4x + -4x
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = -2ix + 2ix + -4i2 + 4i2 + 4x + -4x

Combine like terms: -2ix + 2ix = 0
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + -4i2 + 4i2 + 4x + -4x
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = -4i2 + 4i2 + 4x + -4x

Combine like terms: -4i2 + 4i2 = 0
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0 + 4x + -4x
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -4X + -16i + 2iX + 2ix + 4i2 + -4x + xX = 0

The solution to this equation could not be determined.

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