z^6-2iz^3-1=0

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Solution for z^6-2iz^3-1=0 equation:


Simplifying
z6 + -2iz3 + -1 = 0

Reorder the terms:
-1 + -2iz3 + z6 = 0

Solving
-1 + -2iz3 + z6 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + -2iz3 + 1 + z6 = 0 + 1

Reorder the terms:
-1 + 1 + -2iz3 + z6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2iz3 + z6 = 0 + 1
-2iz3 + z6 = 0 + 1

Combine like terms: 0 + 1 = 1
-2iz3 + z6 = 1

Add '-1z6' to each side of the equation.
-2iz3 + z6 + -1z6 = 1 + -1z6

Combine like terms: z6 + -1z6 = 0
-2iz3 + 0 = 1 + -1z6
-2iz3 = 1 + -1z6

Divide each side by '-2z3'.
i = -0.5z-3 + 0.5z3

Simplifying
i = -0.5z-3 + 0.5z3

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