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

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


Simplifying
z4 + -3iz2 + i + -3 = 0

Reorder the terms:
-3 + i + -3iz2 + z4 = 0

Solving
-3 + i + -3iz2 + z4 = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + i + -3iz2 + 3 + z4 = 0 + 3

Reorder the terms:
-3 + 3 + i + -3iz2 + z4 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + i + -3iz2 + z4 = 0 + 3
i + -3iz2 + z4 = 0 + 3

Combine like terms: 0 + 3 = 3
i + -3iz2 + z4 = 3

Add '-1z4' to each side of the equation.
i + -3iz2 + z4 + -1z4 = 3 + -1z4

Combine like terms: z4 + -1z4 = 0
i + -3iz2 + 0 = 3 + -1z4
i + -3iz2 = 3 + -1z4

Reorder the terms:
-3 + i + -3iz2 + z4 = 3 + -1z4 + -3 + z4

Reorder the terms:
-3 + i + -3iz2 + z4 = 3 + -3 + -1z4 + z4

Combine like terms: 3 + -3 = 0
-3 + i + -3iz2 + z4 = 0 + -1z4 + z4
-3 + i + -3iz2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-3 + i + -3iz2 + z4 = 0

The solution to this equation could not be determined.

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