(x-4)(x-2-3i)=

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Solution for (x-4)(x-2-3i)= equation: 


Simplifying
(x + -4)(x + -2 + -3i) = 0

Reorder the terms:
(-4 + x)(x + -2 + -3i) = 0

Reorder the terms:
(-4 + x)(-2 + -3i + x) = 0

Multiply (-4 + x) * (-2 + -3i + x)
(-4(-2 + -3i + x) + x(-2 + -3i + x)) = 0
((-2 * -4 + -3i * -4 + x * -4) + x(-2 + -3i + x)) = 0
((8 + 12i + -4x) + x(-2 + -3i + x)) = 0
(8 + 12i + -4x + (-2 * x + -3i * x + x * x)) = 0

Reorder the terms:
(8 + 12i + -4x + (-3ix + -2x + x2)) = 0
(8 + 12i + -4x + (-3ix + -2x + x2)) = 0

Reorder the terms:
(8 + 12i + -3ix + -4x + -2x + x2) = 0

Combine like terms: -4x + -2x = -6x
(8 + 12i + -3ix + -6x + x2) = 0

Solving
8 + 12i + -3ix + -6x + x2 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + 12i + -3ix + -6x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 12i + -3ix + -6x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 12i + -3ix + -6x + x2 = 0 + -8
12i + -3ix + -6x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
12i + -3ix + -6x + x2 = -8

Add '6x' to each side of the equation.
12i + -3ix + -6x + 6x + x2 = -8 + 6x

Combine like terms: -6x + 6x = 0
12i + -3ix + 0 + x2 = -8 + 6x
12i + -3ix + x2 = -8 + 6x

Add '-1x2' to each side of the equation.
12i + -3ix + x2 + -1x2 = -8 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
12i + -3ix + 0 = -8 + 6x + -1x2
12i + -3ix = -8 + 6x + -1x2

Reorder the terms:
8 + 12i + -3ix + -6x + x2 = -8 + 6x + -1x2 + 8 + -6x + x2

Reorder the terms:
8 + 12i + -3ix + -6x + x2 = -8 + 8 + 6x + -6x + -1x2 + x2

Combine like terms: -8 + 8 = 0
8 + 12i + -3ix + -6x + x2 = 0 + 6x + -6x + -1x2 + x2
8 + 12i + -3ix + -6x + x2 = 6x + -6x + -1x2 + x2

Combine like terms: 6x + -6x = 0
8 + 12i + -3ix + -6x + x2 = 0 + -1x2 + x2
8 + 12i + -3ix + -6x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8 + 12i + -3ix + -6x + x2 = 0

The solution to this equation could not be determined.

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