z^5+z^4+2i*z+2i=0

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Solution for z^5+z^4+2i*z+2i=0 equation: 


Simplifying
z5 + z4 + 2i * z + 2i = 0

Multiply i * z
z5 + z4 + 2iz + 2i = 0

Reorder the terms:
2i + 2iz + z4 + z5 = 0

Solving
2i + 2iz + z4 + z5 = 0

Solving for variable 'i'.

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

Add '-1z4' to each side of the equation.
2i + 2iz + z4 + -1z4 + z5 = 0 + -1z4

Combine like terms: z4 + -1z4 = 0
2i + 2iz + 0 + z5 = 0 + -1z4
2i + 2iz + z5 = 0 + -1z4
Remove the zero:
2i + 2iz + z5 = -1z4

Add '-1z5' to each side of the equation.
2i + 2iz + z5 + -1z5 = -1z4 + -1z5

Combine like terms: z5 + -1z5 = 0
2i + 2iz + 0 = -1z4 + -1z5
2i + 2iz = -1z4 + -1z5

Reorder the terms:
2i + 2iz + z4 + z5 = -1z4 + z4 + -1z5 + z5

Combine like terms: -1z4 + z4 = 0
2i + 2iz + z4 + z5 = 0 + -1z5 + z5
2i + 2iz + z4 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
2i + 2iz + z4 + z5 = 0

The solution to this equation could not be determined.

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