z^5+(-2i)z^3-iz^2-2=0

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Solution for z^5+(-2i)z^3-iz^2-2=0 equation:


Simplifying
z5 + (-2i) * z3 + -1iz2 + -2 = 0

Remove parenthesis around (-2i)
z5 + -2i * z3 + -1iz2 + -2 = 0

Multiply i * z3
z5 + -2iz3 + -1iz2 + -2 = 0

Reorder the terms:
-2 + -1iz2 + -2iz3 + z5 = 0

Solving
-2 + -1iz2 + -2iz3 + z5 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + -1iz2 + -2iz3 + 2 + z5 = 0 + 2

Reorder the terms:
-2 + 2 + -1iz2 + -2iz3 + z5 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1iz2 + -2iz3 + z5 = 0 + 2
-1iz2 + -2iz3 + z5 = 0 + 2

Combine like terms: 0 + 2 = 2
-1iz2 + -2iz3 + z5 = 2

Add '-1z5' to each side of the equation.
-1iz2 + -2iz3 + z5 + -1z5 = 2 + -1z5

Combine like terms: z5 + -1z5 = 0
-1iz2 + -2iz3 + 0 = 2 + -1z5
-1iz2 + -2iz3 = 2 + -1z5

Reorder the terms:
-2 + -1iz2 + -2iz3 + z5 = 2 + -1z5 + -2 + z5

Reorder the terms:
-2 + -1iz2 + -2iz3 + z5 = 2 + -2 + -1z5 + z5

Combine like terms: 2 + -2 = 0
-2 + -1iz2 + -2iz3 + z5 = 0 + -1z5 + z5
-2 + -1iz2 + -2iz3 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
-2 + -1iz2 + -2iz3 + z5 = 0

The solution to this equation could not be determined.

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