z^5+2iz^3-4z=0

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Solution for z^5+2iz^3-4z=0 equation:


Simplifying
z5 + 2iz3 + -4z = 0

Reorder the terms:
2iz3 + -4z + z5 = 0

Solving
2iz3 + -4z + z5 = 0

Solving for variable 'i'.

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

Add '4z' to each side of the equation.
2iz3 + -4z + 4z + z5 = 0 + 4z

Combine like terms: -4z + 4z = 0
2iz3 + 0 + z5 = 0 + 4z
2iz3 + z5 = 0 + 4z
Remove the zero:
2iz3 + z5 = 4z

Add '-1z5' to each side of the equation.
2iz3 + z5 + -1z5 = 4z + -1z5

Combine like terms: z5 + -1z5 = 0
2iz3 + 0 = 4z + -1z5
2iz3 = 4z + -1z5

Divide each side by '2z3'.
i = 2z-2 + -0.5z2

Simplifying
i = 2z-2 + -0.5z2

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