z^7+8z^4-2iz^3-16i=0

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Solution for z^7+8z^4-2iz^3-16i=0 equation: 


Simplifying
z7 + 8z4 + -2iz3 + -16i = 0

Reorder the terms:
-16i + -2iz3 + 8z4 + z7 = 0

Solving
-16i + -2iz3 + 8z4 + z7 = 0

Solving for variable 'i'.

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

Add '-8z4' to each side of the equation.
-16i + -2iz3 + 8z4 + -8z4 + z7 = 0 + -8z4

Combine like terms: 8z4 + -8z4 = 0
-16i + -2iz3 + 0 + z7 = 0 + -8z4
-16i + -2iz3 + z7 = 0 + -8z4
Remove the zero:
-16i + -2iz3 + z7 = -8z4

Add '-1z7' to each side of the equation.
-16i + -2iz3 + z7 + -1z7 = -8z4 + -1z7

Combine like terms: z7 + -1z7 = 0
-16i + -2iz3 + 0 = -8z4 + -1z7
-16i + -2iz3 = -8z4 + -1z7

Reorder the terms:
-16i + -2iz3 + 8z4 + z7 = -8z4 + 8z4 + -1z7 + z7

Combine like terms: -8z4 + 8z4 = 0
-16i + -2iz3 + 8z4 + z7 = 0 + -1z7 + z7
-16i + -2iz3 + 8z4 + z7 = -1z7 + z7

Combine like terms: -1z7 + z7 = 0
-16i + -2iz3 + 8z4 + z7 = 0

The solution to this equation could not be determined.

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