z^5+5*z^3-i*z^2-5*i=0

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Solution for z^5+5*z^3-i*z^2-5*i=0 equation: 


Simplifying
z5 + 5z3 + -1i * z2 + -5i = 0

Multiply i * z2
z5 + 5z3 + -1iz2 + -5i = 0

Reorder the terms:
-5i + -1iz2 + 5z3 + z5 = 0

Solving
-5i + -1iz2 + 5z3 + z5 = 0

Solving for variable 'i'.

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

Add '-5z3' to each side of the equation.
-5i + -1iz2 + 5z3 + -5z3 + z5 = 0 + -5z3

Combine like terms: 5z3 + -5z3 = 0
-5i + -1iz2 + 0 + z5 = 0 + -5z3
-5i + -1iz2 + z5 = 0 + -5z3
Remove the zero:
-5i + -1iz2 + z5 = -5z3

Add '-1z5' to each side of the equation.
-5i + -1iz2 + z5 + -1z5 = -5z3 + -1z5

Combine like terms: z5 + -1z5 = 0
-5i + -1iz2 + 0 = -5z3 + -1z5
-5i + -1iz2 = -5z3 + -1z5

Reorder the terms:
-5i + -1iz2 + 5z3 + z5 = -5z3 + 5z3 + -1z5 + z5

Combine like terms: -5z3 + 5z3 = 0
-5i + -1iz2 + 5z3 + z5 = 0 + -1z5 + z5
-5i + -1iz2 + 5z3 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
-5i + -1iz2 + 5z3 + z5 = 0

The solution to this equation could not be determined.

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