z^4-2iz^2-2i-1=0

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Solution for z^4-2iz^2-2i-1=0 equation:


Simplifying
z4 + -2iz2 + -2i + -1 = 0

Reorder the terms:
-1 + -2i + -2iz2 + z4 = 0

Solving
-1 + -2i + -2iz2 + z4 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + -2i + -2iz2 + 1 + z4 = 0 + 1

Reorder the terms:
-1 + 1 + -2i + -2iz2 + z4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2i + -2iz2 + z4 = 0 + 1
-2i + -2iz2 + z4 = 0 + 1

Combine like terms: 0 + 1 = 1
-2i + -2iz2 + z4 = 1

Add '-1z4' to each side of the equation.
-2i + -2iz2 + z4 + -1z4 = 1 + -1z4

Combine like terms: z4 + -1z4 = 0
-2i + -2iz2 + 0 = 1 + -1z4
-2i + -2iz2 = 1 + -1z4

Reorder the terms:
-1 + -2i + -2iz2 + z4 = 1 + -1z4 + -1 + z4

Reorder the terms:
-1 + -2i + -2iz2 + z4 = 1 + -1 + -1z4 + z4

Combine like terms: 1 + -1 = 0
-1 + -2i + -2iz2 + z4 = 0 + -1z4 + z4
-1 + -2i + -2iz2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-1 + -2i + -2iz2 + z4 = 0

The solution to this equation could not be determined.

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