z^8+(3-i)z^4-3i=0

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Solution for z^8+(3-i)z^4-3i=0 equation: 


Simplifying
z8 + (3 + -1i) * z4 + -3i = 0

Reorder the terms for easier multiplication:
z8 + z4(3 + -1i) + -3i = 0
z8 + (3 * z4 + -1i * z4) + -3i = 0

Reorder the terms:
z8 + (-1iz4 + 3z4) + -3i = 0
z8 + (-1iz4 + 3z4) + -3i = 0

Reorder the terms:
-3i + -1iz4 + 3z4 + z8 = 0

Solving
-3i + -1iz4 + 3z4 + z8 = 0

Solving for variable 'i'.

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

Add '-3z4' to each side of the equation.
-3i + -1iz4 + 3z4 + -3z4 + z8 = 0 + -3z4

Combine like terms: 3z4 + -3z4 = 0
-3i + -1iz4 + 0 + z8 = 0 + -3z4
-3i + -1iz4 + z8 = 0 + -3z4
Remove the zero:
-3i + -1iz4 + z8 = -3z4

Add '-1z8' to each side of the equation.
-3i + -1iz4 + z8 + -1z8 = -3z4 + -1z8

Combine like terms: z8 + -1z8 = 0
-3i + -1iz4 + 0 = -3z4 + -1z8
-3i + -1iz4 = -3z4 + -1z8

Reorder the terms:
-3i + -1iz4 + 3z4 + z8 = -3z4 + 3z4 + -1z8 + z8

Combine like terms: -3z4 + 3z4 = 0
-3i + -1iz4 + 3z4 + z8 = 0 + -1z8 + z8
-3i + -1iz4 + 3z4 + z8 = -1z8 + z8

Combine like terms: -1z8 + z8 = 0
-3i + -1iz4 + 3z4 + z8 = 0

The solution to this equation could not be determined.

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