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

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


Simplifying
Z5 + z3 + -1i * z2 + -1i = 0

Multiply i * z2
Z5 + z3 + -1iz2 + -1i = 0

Reorder the terms:
Z5 + -1i + -1iz2 + z3 = 0

Solving
Z5 + -1i + -1iz2 + z3 = 0

Solving for variable 'Z'.

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

Add 'i' to each side of the equation.
Z5 + -1i + -1iz2 + i + z3 = 0 + i

Reorder the terms:
Z5 + -1i + i + -1iz2 + z3 = 0 + i

Combine like terms: -1i + i = 0
Z5 + 0 + -1iz2 + z3 = 0 + i
Z5 + -1iz2 + z3 = 0 + i
Remove the zero:
Z5 + -1iz2 + z3 = i

Add 'iz2' to each side of the equation.
Z5 + -1iz2 + iz2 + z3 = i + iz2

Combine like terms: -1iz2 + iz2 = 0
Z5 + 0 + z3 = i + iz2
Z5 + z3 = i + iz2

Add '-1z3' to each side of the equation.
Z5 + z3 + -1z3 = i + iz2 + -1z3

Combine like terms: z3 + -1z3 = 0
Z5 + 0 = i + iz2 + -1z3
Z5 = i + iz2 + -1z3

Simplifying
Z5 = i + iz2 + -1z3

Reorder the terms:
Z5 + -1i + -1iz2 + z3 = i + -1i + iz2 + -1iz2 + -1z3 + z3

Combine like terms: i + -1i = 0
Z5 + -1i + -1iz2 + z3 = 0 + iz2 + -1iz2 + -1z3 + z3
Z5 + -1i + -1iz2 + z3 = iz2 + -1iz2 + -1z3 + z3

Combine like terms: iz2 + -1iz2 = 0
Z5 + -1i + -1iz2 + z3 = 0 + -1z3 + z3
Z5 + -1i + -1iz2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
Z5 + -1i + -1iz2 + z3 = 0

The solution to this equation could not be determined.

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