Z^4+z^3-8iz-8i=0

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Solution for Z^4+z^3-8iz-8i=0 equation:


Simplifying
Z4 + z3 + -8iz + -8i = 0

Reorder the terms:
Z4 + -8i + -8iz + z3 = 0

Solving
Z4 + -8i + -8iz + z3 = 0

Solving for variable 'Z'.

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

Add '8i' to each side of the equation.
Z4 + -8i + -8iz + 8i + z3 = 0 + 8i

Reorder the terms:
Z4 + -8i + 8i + -8iz + z3 = 0 + 8i

Combine like terms: -8i + 8i = 0
Z4 + 0 + -8iz + z3 = 0 + 8i
Z4 + -8iz + z3 = 0 + 8i
Remove the zero:
Z4 + -8iz + z3 = 8i

Add '8iz' to each side of the equation.
Z4 + -8iz + 8iz + z3 = 8i + 8iz

Combine like terms: -8iz + 8iz = 0
Z4 + 0 + z3 = 8i + 8iz
Z4 + z3 = 8i + 8iz

Add '-1z3' to each side of the equation.
Z4 + z3 + -1z3 = 8i + 8iz + -1z3

Combine like terms: z3 + -1z3 = 0
Z4 + 0 = 8i + 8iz + -1z3
Z4 = 8i + 8iz + -1z3

Simplifying
Z4 = 8i + 8iz + -1z3

Reorder the terms:
Z4 + -8i + -8iz + z3 = 8i + -8i + 8iz + -8iz + -1z3 + z3

Combine like terms: 8i + -8i = 0
Z4 + -8i + -8iz + z3 = 0 + 8iz + -8iz + -1z3 + z3
Z4 + -8i + -8iz + z3 = 8iz + -8iz + -1z3 + z3

Combine like terms: 8iz + -8iz = 0
Z4 + -8i + -8iz + z3 = 0 + -1z3 + z3
Z4 + -8i + -8iz + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
Z4 + -8i + -8iz + z3 = 0

The solution to this equation could not be determined.

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