Z^2-2(2+3i)z+(8i+8)=

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Solution for Z^2-2(2+3i)z+(8i+8)= equation: 


Simplifying
Z2 + -2(2 + 3i) * z + (8i + 8) = 0

Reorder the terms for easier multiplication:
Z2 + -2z(2 + 3i) + (8i + 8) = 0
Z2 + (2 * -2z + 3i * -2z) + (8i + 8) = 0

Reorder the terms:
Z2 + (-6iz + -4z) + (8i + 8) = 0
Z2 + (-6iz + -4z) + (8i + 8) = 0

Reorder the terms:
Z2 + -6iz + -4z + (8 + 8i) = 0

Remove parenthesis around (8 + 8i)
Z2 + -6iz + -4z + 8 + 8i = 0

Reorder the terms:
8 + Z2 + 8i + -6iz + -4z = 0

Solving
8 + Z2 + 8i + -6iz + -4z = 0

Solving for variable 'Z'.

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

Add '-8' to each side of the equation.
8 + Z2 + 8i + -6iz + -8 + -4z = 0 + -8

Reorder the terms:
8 + -8 + Z2 + 8i + -6iz + -4z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + Z2 + 8i + -6iz + -4z = 0 + -8
Z2 + 8i + -6iz + -4z = 0 + -8

Combine like terms: 0 + -8 = -8
Z2 + 8i + -6iz + -4z = -8

Add '-8i' to each side of the equation.
Z2 + 8i + -6iz + -8i + -4z = -8 + -8i

Reorder the terms:
Z2 + 8i + -8i + -6iz + -4z = -8 + -8i

Combine like terms: 8i + -8i = 0
Z2 + 0 + -6iz + -4z = -8 + -8i
Z2 + -6iz + -4z = -8 + -8i

Add '6iz' to each side of the equation.
Z2 + -6iz + 6iz + -4z = -8 + -8i + 6iz

Combine like terms: -6iz + 6iz = 0
Z2 + 0 + -4z = -8 + -8i + 6iz
Z2 + -4z = -8 + -8i + 6iz

Add '4z' to each side of the equation.
Z2 + -4z + 4z = -8 + -8i + 6iz + 4z

Combine like terms: -4z + 4z = 0
Z2 + 0 = -8 + -8i + 6iz + 4z
Z2 = -8 + -8i + 6iz + 4z

Simplifying
Z2 = -8 + -8i + 6iz + 4z

Reorder the terms:
8 + Z2 + 8i + -6iz + -4z = -8 + -8i + 6iz + 4z + 8 + 8i + -6iz + -4z

Reorder the terms:
8 + Z2 + 8i + -6iz + -4z = -8 + 8 + -8i + 8i + 6iz + -6iz + 4z + -4z

Combine like terms: -8 + 8 = 0
8 + Z2 + 8i + -6iz + -4z = 0 + -8i + 8i + 6iz + -6iz + 4z + -4z
8 + Z2 + 8i + -6iz + -4z = -8i + 8i + 6iz + -6iz + 4z + -4z

Combine like terms: -8i + 8i = 0
8 + Z2 + 8i + -6iz + -4z = 0 + 6iz + -6iz + 4z + -4z
8 + Z2 + 8i + -6iz + -4z = 6iz + -6iz + 4z + -4z

Combine like terms: 6iz + -6iz = 0
8 + Z2 + 8i + -6iz + -4z = 0 + 4z + -4z
8 + Z2 + 8i + -6iz + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
8 + Z2 + 8i + -6iz + -4z = 0

The solution to this equation could not be determined.

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