z^6+4z^3+4iz^3=0

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Solution for z^6+4z^3+4iz^3=0 equation: 


Simplifying
z6 + 4z3 + 4iz3 = 0

Reorder the terms:
4iz3 + 4z3 + z6 = 0

Solving
4iz3 + 4z3 + z6 = 0

Solving for variable 'i'.

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

Add '-4z3' to each side of the equation.
4iz3 + 4z3 + -4z3 + z6 = 0 + -4z3

Combine like terms: 4z3 + -4z3 = 0
4iz3 + 0 + z6 = 0 + -4z3
4iz3 + z6 = 0 + -4z3
Remove the zero:
4iz3 + z6 = -4z3

Add '-1z6' to each side of the equation.
4iz3 + z6 + -1z6 = -4z3 + -1z6

Combine like terms: z6 + -1z6 = 0
4iz3 + 0 = -4z3 + -1z6
4iz3 = -4z3 + -1z6

Divide each side by '4z3'.
i = -1 + -0.25z3

Simplifying
i = -1 + -0.25z3

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