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

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


Simplifying
Z2 + 2iz + 2 + -4i = 0

Reorder the terms:
2 + Z2 + -4i + 2iz = 0

Solving
2 + Z2 + -4i + 2iz = 0

Solving for variable 'Z'.

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

Add '-2' to each side of the equation.
2 + Z2 + -4i + -2 + 2iz = 0 + -2

Reorder the terms:
2 + -2 + Z2 + -4i + 2iz = 0 + -2

Combine like terms: 2 + -2 = 0
0 + Z2 + -4i + 2iz = 0 + -2
Z2 + -4i + 2iz = 0 + -2

Combine like terms: 0 + -2 = -2
Z2 + -4i + 2iz = -2

Add '4i' to each side of the equation.
Z2 + -4i + 4i + 2iz = -2 + 4i

Combine like terms: -4i + 4i = 0
Z2 + 0 + 2iz = -2 + 4i
Z2 + 2iz = -2 + 4i

Add '-2iz' to each side of the equation.
Z2 + 2iz + -2iz = -2 + 4i + -2iz

Combine like terms: 2iz + -2iz = 0
Z2 + 0 = -2 + 4i + -2iz
Z2 = -2 + 4i + -2iz

Simplifying
Z2 = -2 + 4i + -2iz

Reorder the terms:
2 + Z2 + -4i + 2iz = -2 + 4i + -2iz + 2 + -4i + 2iz

Reorder the terms:
2 + Z2 + -4i + 2iz = -2 + 2 + 4i + -4i + -2iz + 2iz

Combine like terms: -2 + 2 = 0
2 + Z2 + -4i + 2iz = 0 + 4i + -4i + -2iz + 2iz
2 + Z2 + -4i + 2iz = 4i + -4i + -2iz + 2iz

Combine like terms: 4i + -4i = 0
2 + Z2 + -4i + 2iz = 0 + -2iz + 2iz
2 + Z2 + -4i + 2iz = -2iz + 2iz

Combine like terms: -2iz + 2iz = 0
2 + Z2 + -4i + 2iz = 0

The solution to this equation could not be determined.

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