(x^2-x-2)(x-1-2i)=

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Solution for (x^2-x-2)(x-1-2i)= equation: 


Simplifying
(x2 + -1x + -2)(x + -1 + -2i) = 0

Reorder the terms:
(-2 + -1x + x2)(x + -1 + -2i) = 0

Reorder the terms:
(-2 + -1x + x2)(-1 + -2i + x) = 0

Multiply (-2 + -1x + x2) * (-1 + -2i + x)
(-2(-1 + -2i + x) + -1x * (-1 + -2i + x) + x2(-1 + -2i + x)) = 0
((-1 * -2 + -2i * -2 + x * -2) + -1x * (-1 + -2i + x) + x2(-1 + -2i + x)) = 0
((2 + 4i + -2x) + -1x * (-1 + -2i + x) + x2(-1 + -2i + x)) = 0
(2 + 4i + -2x + (-1 * -1x + -2i * -1x + x * -1x) + x2(-1 + -2i + x)) = 0

Reorder the terms:
(2 + 4i + -2x + (2ix + 1x + -1x2) + x2(-1 + -2i + x)) = 0
(2 + 4i + -2x + (2ix + 1x + -1x2) + x2(-1 + -2i + x)) = 0
(2 + 4i + -2x + 2ix + 1x + -1x2 + (-1 * x2 + -2i * x2 + x * x2)) = 0

Reorder the terms:
(2 + 4i + -2x + 2ix + 1x + -1x2 + (-2ix2 + -1x2 + x3)) = 0
(2 + 4i + -2x + 2ix + 1x + -1x2 + (-2ix2 + -1x2 + x3)) = 0

Reorder the terms:
(2 + 4i + 2ix + -2ix2 + -2x + 1x + -1x2 + -1x2 + x3) = 0

Combine like terms: -2x + 1x = -1x
(2 + 4i + 2ix + -2ix2 + -1x + -1x2 + -1x2 + x3) = 0

Combine like terms: -1x2 + -1x2 = -2x2
(2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3) = 0

Solving
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + -2 + x3 = 0 + -2

Reorder the terms:
2 + -2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + -2
4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + -2

Combine like terms: 0 + -2 = -2
4i + 2ix + -2ix2 + -1x + -2x2 + x3 = -2

Add 'x' to each side of the equation.
4i + 2ix + -2ix2 + -1x + -2x2 + x + x3 = -2 + x

Reorder the terms:
4i + 2ix + -2ix2 + -1x + x + -2x2 + x3 = -2 + x

Combine like terms: -1x + x = 0
4i + 2ix + -2ix2 + 0 + -2x2 + x3 = -2 + x
4i + 2ix + -2ix2 + -2x2 + x3 = -2 + x

Add '2x2' to each side of the equation.
4i + 2ix + -2ix2 + -2x2 + 2x2 + x3 = -2 + x + 2x2

Combine like terms: -2x2 + 2x2 = 0
4i + 2ix + -2ix2 + 0 + x3 = -2 + x + 2x2
4i + 2ix + -2ix2 + x3 = -2 + x + 2x2

Add '-1x3' to each side of the equation.
4i + 2ix + -2ix2 + x3 + -1x3 = -2 + x + 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
4i + 2ix + -2ix2 + 0 = -2 + x + 2x2 + -1x3
4i + 2ix + -2ix2 = -2 + x + 2x2 + -1x3

Reorder the terms:
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = -2 + x + 2x2 + -1x3 + 2 + -1x + -2x2 + x3

Reorder the terms:
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = -2 + 2 + x + -1x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: -2 + 2 = 0
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + x + -1x + 2x2 + -2x2 + -1x3 + x3
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = x + -1x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: x + -1x = 0
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + 2x2 + -2x2 + -1x3 + x3
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0 + -1x3 + x3
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2 + 4i + 2ix + -2ix2 + -1x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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