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

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Solution for 1+iz-z^2-iz^3+z^4=0 equation: 


Simplifying
1 + iz + -1z2 + -1iz3 + z4 = 0

Reorder the terms:
1 + iz + -1iz3 + -1z2 + z4 = 0

Solving
1 + iz + -1iz3 + -1z2 + 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 + iz + -1iz3 + -1z2 + -1 + z4 = 0 + -1

Reorder the terms:
1 + -1 + iz + -1iz3 + -1z2 + z4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + iz + -1iz3 + -1z2 + z4 = 0 + -1
iz + -1iz3 + -1z2 + z4 = 0 + -1

Combine like terms: 0 + -1 = -1
iz + -1iz3 + -1z2 + z4 = -1

Add 'z2' to each side of the equation.
iz + -1iz3 + -1z2 + z2 + z4 = -1 + z2

Combine like terms: -1z2 + z2 = 0
iz + -1iz3 + 0 + z4 = -1 + z2
iz + -1iz3 + z4 = -1 + z2

Add '-1z4' to each side of the equation.
iz + -1iz3 + z4 + -1z4 = -1 + z2 + -1z4

Combine like terms: z4 + -1z4 = 0
iz + -1iz3 + 0 = -1 + z2 + -1z4
iz + -1iz3 = -1 + z2 + -1z4

Reorder the terms:
1 + iz + -1iz3 + -1z2 + z4 = -1 + z2 + -1z4 + 1 + -1z2 + z4

Reorder the terms:
1 + iz + -1iz3 + -1z2 + z4 = -1 + 1 + z2 + -1z2 + -1z4 + z4

Combine like terms: -1 + 1 = 0
1 + iz + -1iz3 + -1z2 + z4 = 0 + z2 + -1z2 + -1z4 + z4
1 + iz + -1iz3 + -1z2 + z4 = z2 + -1z2 + -1z4 + z4

Combine like terms: z2 + -1z2 = 0
1 + iz + -1iz3 + -1z2 + z4 = 0 + -1z4 + z4
1 + iz + -1iz3 + -1z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
1 + iz + -1iz3 + -1z2 + z4 = 0

The solution to this equation could not be determined.

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