z^6-5iz^3+6=0

Solution for z^6-5iz^3+6=0 equation:

Simplifying
z6 + -5iz3 + 6 = 0

Reorder the terms:
6 + -5iz3 + z6 = 0

Solving
6 + -5iz3 + z6 = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -5iz3 + -6 + z6 = 0 + -6

Reorder the terms:
6 + -6 + -5iz3 + z6 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5iz3 + z6 = 0 + -6
-5iz3 + z6 = 0 + -6

Combine like terms: 0 + -6 = -6
-5iz3 + z6 = -6

Add '-1z6' to each side of the equation.
-5iz3 + z6 + -1z6 = -6 + -1z6

Combine like terms: z6 + -1z6 = 0
-5iz3 + 0 = -6 + -1z6
-5iz3 = -6 + -1z6

Divide each side by '-5z3'.
i = 1.2z-3 + 0.2z3

Simplifying
i = 1.2z-3 + 0.2z3