Z^4-4z^2+4-2i=0

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Solution for Z^4-4z^2+4-2i=0 equation:


Simplifying
Z4 + -4z2 + 4 + -2i = 0

Reorder the terms:
4 + Z4 + -2i + -4z2 = 0

Solving
4 + Z4 + -2i + -4z2 = 0

Solving for variable 'Z'.

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

Add '-4' to each side of the equation.
4 + Z4 + -2i + -4 + -4z2 = 0 + -4

Reorder the terms:
4 + -4 + Z4 + -2i + -4z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Z4 + -2i + -4z2 = 0 + -4
Z4 + -2i + -4z2 = 0 + -4

Combine like terms: 0 + -4 = -4
Z4 + -2i + -4z2 = -4

Add '2i' to each side of the equation.
Z4 + -2i + 2i + -4z2 = -4 + 2i

Combine like terms: -2i + 2i = 0
Z4 + 0 + -4z2 = -4 + 2i
Z4 + -4z2 = -4 + 2i

Add '4z2' to each side of the equation.
Z4 + -4z2 + 4z2 = -4 + 2i + 4z2

Combine like terms: -4z2 + 4z2 = 0
Z4 + 0 = -4 + 2i + 4z2
Z4 = -4 + 2i + 4z2

Simplifying
Z4 = -4 + 2i + 4z2

Reorder the terms:
4 + Z4 + -2i + -4z2 = -4 + 2i + 4z2 + 4 + -2i + -4z2

Reorder the terms:
4 + Z4 + -2i + -4z2 = -4 + 4 + 2i + -2i + 4z2 + -4z2

Combine like terms: -4 + 4 = 0
4 + Z4 + -2i + -4z2 = 0 + 2i + -2i + 4z2 + -4z2
4 + Z4 + -2i + -4z2 = 2i + -2i + 4z2 + -4z2

Combine like terms: 2i + -2i = 0
4 + Z4 + -2i + -4z2 = 0 + 4z2 + -4z2
4 + Z4 + -2i + -4z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
4 + Z4 + -2i + -4z2 = 0

The solution to this equation could not be determined.

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