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

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


Simplifying
z4 + -1iz3 + 3z2 + -1iz + 2 = 0

Reorder the terms:
2 + -1iz + -1iz3 + 3z2 + z4 = 0

Solving
2 + -1iz + -1iz3 + 3z2 + z4 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -1iz + -1iz3 + 3z2 + -2 + z4 = 0 + -2

Reorder the terms:
2 + -2 + -1iz + -1iz3 + 3z2 + z4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1iz + -1iz3 + 3z2 + z4 = 0 + -2
-1iz + -1iz3 + 3z2 + z4 = 0 + -2

Combine like terms: 0 + -2 = -2
-1iz + -1iz3 + 3z2 + z4 = -2

Add '-3z2' to each side of the equation.
-1iz + -1iz3 + 3z2 + -3z2 + z4 = -2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
-1iz + -1iz3 + 0 + z4 = -2 + -3z2
-1iz + -1iz3 + z4 = -2 + -3z2

Add '-1z4' to each side of the equation.
-1iz + -1iz3 + z4 + -1z4 = -2 + -3z2 + -1z4

Combine like terms: z4 + -1z4 = 0
-1iz + -1iz3 + 0 = -2 + -3z2 + -1z4
-1iz + -1iz3 = -2 + -3z2 + -1z4

Reorder the terms:
2 + -1iz + -1iz3 + 3z2 + z4 = -2 + -3z2 + -1z4 + 2 + 3z2 + z4

Reorder the terms:
2 + -1iz + -1iz3 + 3z2 + z4 = -2 + 2 + -3z2 + 3z2 + -1z4 + z4

Combine like terms: -2 + 2 = 0
2 + -1iz + -1iz3 + 3z2 + z4 = 0 + -3z2 + 3z2 + -1z4 + z4
2 + -1iz + -1iz3 + 3z2 + z4 = -3z2 + 3z2 + -1z4 + z4

Combine like terms: -3z2 + 3z2 = 0
2 + -1iz + -1iz3 + 3z2 + z4 = 0 + -1z4 + z4
2 + -1iz + -1iz3 + 3z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
2 + -1iz + -1iz3 + 3z2 + z4 = 0

The solution to this equation could not be determined.

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