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

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


Simplifying
z4 + -1z3 + z + -1iz + -1 + i = 0

Reorder the terms:
-1 + i + -1iz + z + -1z3 + z4 = 0

Solving
-1 + i + -1iz + z + -1z3 + 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 + i + -1iz + z + -1z3 + 1 + z4 = 0 + 1

Reorder the terms:
-1 + 1 + i + -1iz + z + -1z3 + z4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + i + -1iz + z + -1z3 + z4 = 0 + 1
i + -1iz + z + -1z3 + z4 = 0 + 1

Combine like terms: 0 + 1 = 1
i + -1iz + z + -1z3 + z4 = 1

Add '-1z' to each side of the equation.
i + -1iz + z + -1z3 + -1z + z4 = 1 + -1z

Reorder the terms:
i + -1iz + z + -1z + -1z3 + z4 = 1 + -1z

Combine like terms: z + -1z = 0
i + -1iz + 0 + -1z3 + z4 = 1 + -1z
i + -1iz + -1z3 + z4 = 1 + -1z

Add 'z3' to each side of the equation.
i + -1iz + -1z3 + z3 + z4 = 1 + -1z + z3

Combine like terms: -1z3 + z3 = 0
i + -1iz + 0 + z4 = 1 + -1z + z3
i + -1iz + z4 = 1 + -1z + z3

Add '-1z4' to each side of the equation.
i + -1iz + z4 + -1z4 = 1 + -1z + z3 + -1z4

Combine like terms: z4 + -1z4 = 0
i + -1iz + 0 = 1 + -1z + z3 + -1z4
i + -1iz = 1 + -1z + z3 + -1z4

Reorder the terms:
-1 + i + -1iz + z + -1z3 + z4 = 1 + -1z + z3 + -1z4 + -1 + z + -1z3 + z4

Reorder the terms:
-1 + i + -1iz + z + -1z3 + z4 = 1 + -1 + -1z + z + z3 + -1z3 + -1z4 + z4

Combine like terms: 1 + -1 = 0
-1 + i + -1iz + z + -1z3 + z4 = 0 + -1z + z + z3 + -1z3 + -1z4 + z4
-1 + i + -1iz + z + -1z3 + z4 = -1z + z + z3 + -1z3 + -1z4 + z4

Combine like terms: -1z + z = 0
-1 + i + -1iz + z + -1z3 + z4 = 0 + z3 + -1z3 + -1z4 + z4
-1 + i + -1iz + z + -1z3 + z4 = z3 + -1z3 + -1z4 + z4

Combine like terms: z3 + -1z3 = 0
-1 + i + -1iz + z + -1z3 + z4 = 0 + -1z4 + z4
-1 + i + -1iz + z + -1z3 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-1 + i + -1iz + z + -1z3 + z4 = 0

The solution to this equation could not be determined.

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