x^3-x^2-2ix^2+x+2ix-2i=0

Solution for x^3-x^2-2ix^2+x+2ix-2i=0 equation:

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

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.