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

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


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

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

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

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

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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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