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

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


Simplifying
z6 + 3iz3 + 4 = 0

Reorder the terms:
4 + 3iz3 + z6 = 0

Solving
4 + 3iz3 + z6 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + 3iz3 + -4 + z6 = 0 + -4

Reorder the terms:
4 + -4 + 3iz3 + z6 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3iz3 + z6 = 0 + -4
3iz3 + z6 = 0 + -4

Combine like terms: 0 + -4 = -4
3iz3 + z6 = -4

Add '-1z6' to each side of the equation.
3iz3 + z6 + -1z6 = -4 + -1z6

Combine like terms: z6 + -1z6 = 0
3iz3 + 0 = -4 + -1z6
3iz3 = -4 + -1z6

Divide each side by '3z3'.
i = -1.333333333z-3 + -0.3333333333z3

Simplifying
i = -1.333333333z-3 + -0.3333333333z3

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