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

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Solution for (X+4-2i)(x+4+2i)= 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 = 0
(16 + 4X + 0 + 2iX + -2ix + -4i2 + 4x + xX) = 0
(16 + 4X + 2iX + -2ix + -4i2 + 4x + xX) = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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