Z^4+2iz^3-z^2+2iz-2=0

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Solution for Z^4+2iz^3-z^2+2iz-2=0 equation: 


Simplifying
Z4 + 2iz3 + -1z2 + 2iz + -2 = 0

Reorder the terms:
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0

Solving
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0

Solving for variable 'Z'.

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

Add '2' to each side of the equation.
-2 + Z4 + 2iz + 2iz3 + 2 + -1z2 = 0 + 2

Reorder the terms:
-2 + 2 + Z4 + 2iz + 2iz3 + -1z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + Z4 + 2iz + 2iz3 + -1z2 = 0 + 2
Z4 + 2iz + 2iz3 + -1z2 = 0 + 2

Combine like terms: 0 + 2 = 2
Z4 + 2iz + 2iz3 + -1z2 = 2

Add '-2iz' to each side of the equation.
Z4 + 2iz + 2iz3 + -2iz + -1z2 = 2 + -2iz

Reorder the terms:
Z4 + 2iz + -2iz + 2iz3 + -1z2 = 2 + -2iz

Combine like terms: 2iz + -2iz = 0
Z4 + 0 + 2iz3 + -1z2 = 2 + -2iz
Z4 + 2iz3 + -1z2 = 2 + -2iz

Add '-2iz3' to each side of the equation.
Z4 + 2iz3 + -2iz3 + -1z2 = 2 + -2iz + -2iz3

Combine like terms: 2iz3 + -2iz3 = 0
Z4 + 0 + -1z2 = 2 + -2iz + -2iz3
Z4 + -1z2 = 2 + -2iz + -2iz3

Add 'z2' to each side of the equation.
Z4 + -1z2 + z2 = 2 + -2iz + -2iz3 + z2

Combine like terms: -1z2 + z2 = 0
Z4 + 0 = 2 + -2iz + -2iz3 + z2
Z4 = 2 + -2iz + -2iz3 + z2

Simplifying
Z4 = 2 + -2iz + -2iz3 + z2

Reorder the terms:
-2 + Z4 + 2iz + 2iz3 + -1z2 = 2 + -2iz + -2iz3 + z2 + -2 + 2iz + 2iz3 + -1z2

Reorder the terms:
-2 + Z4 + 2iz + 2iz3 + -1z2 = 2 + -2 + -2iz + 2iz + -2iz3 + 2iz3 + z2 + -1z2

Combine like terms: 2 + -2 = 0
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0 + -2iz + 2iz + -2iz3 + 2iz3 + z2 + -1z2
-2 + Z4 + 2iz + 2iz3 + -1z2 = -2iz + 2iz + -2iz3 + 2iz3 + z2 + -1z2

Combine like terms: -2iz + 2iz = 0
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0 + -2iz3 + 2iz3 + z2 + -1z2
-2 + Z4 + 2iz + 2iz3 + -1z2 = -2iz3 + 2iz3 + z2 + -1z2

Combine like terms: -2iz3 + 2iz3 = 0
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0 + z2 + -1z2
-2 + Z4 + 2iz + 2iz3 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-2 + Z4 + 2iz + 2iz3 + -1z2 = 0

The solution to this equation could not be determined.

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