Z^2-(6-2i)z+17-6i=0

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Solution for Z^2-(6-2i)z+17-6i=0 equation: 


Simplifying
Z2 + -1(6 + -2i) * z + 17 + -6i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(6 + -2i) + 17 + -6i = 0
Z2 + (6 * -1z + -2i * -1z) + 17 + -6i = 0

Reorder the terms:
Z2 + (2iz + -6z) + 17 + -6i = 0
Z2 + (2iz + -6z) + 17 + -6i = 0

Reorder the terms:
17 + Z2 + -6i + 2iz + -6z = 0

Solving
17 + Z2 + -6i + 2iz + -6z = 0

Solving for variable 'Z'.

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

Add '-17' to each side of the equation.
17 + Z2 + -6i + 2iz + -17 + -6z = 0 + -17

Reorder the terms:
17 + -17 + Z2 + -6i + 2iz + -6z = 0 + -17

Combine like terms: 17 + -17 = 0
0 + Z2 + -6i + 2iz + -6z = 0 + -17
Z2 + -6i + 2iz + -6z = 0 + -17

Combine like terms: 0 + -17 = -17
Z2 + -6i + 2iz + -6z = -17

Add '6i' to each side of the equation.
Z2 + -6i + 2iz + 6i + -6z = -17 + 6i

Reorder the terms:
Z2 + -6i + 6i + 2iz + -6z = -17 + 6i

Combine like terms: -6i + 6i = 0
Z2 + 0 + 2iz + -6z = -17 + 6i
Z2 + 2iz + -6z = -17 + 6i

Add '-2iz' to each side of the equation.
Z2 + 2iz + -2iz + -6z = -17 + 6i + -2iz

Combine like terms: 2iz + -2iz = 0
Z2 + 0 + -6z = -17 + 6i + -2iz
Z2 + -6z = -17 + 6i + -2iz

Add '6z' to each side of the equation.
Z2 + -6z + 6z = -17 + 6i + -2iz + 6z

Combine like terms: -6z + 6z = 0
Z2 + 0 = -17 + 6i + -2iz + 6z
Z2 = -17 + 6i + -2iz + 6z

Simplifying
Z2 = -17 + 6i + -2iz + 6z

Reorder the terms:
17 + Z2 + -6i + 2iz + -6z = -17 + 6i + -2iz + 6z + 17 + -6i + 2iz + -6z

Reorder the terms:
17 + Z2 + -6i + 2iz + -6z = -17 + 17 + 6i + -6i + -2iz + 2iz + 6z + -6z

Combine like terms: -17 + 17 = 0
17 + Z2 + -6i + 2iz + -6z = 0 + 6i + -6i + -2iz + 2iz + 6z + -6z
17 + Z2 + -6i + 2iz + -6z = 6i + -6i + -2iz + 2iz + 6z + -6z

Combine like terms: 6i + -6i = 0
17 + Z2 + -6i + 2iz + -6z = 0 + -2iz + 2iz + 6z + -6z
17 + Z2 + -6i + 2iz + -6z = -2iz + 2iz + 6z + -6z

Combine like terms: -2iz + 2iz = 0
17 + Z2 + -6i + 2iz + -6z = 0 + 6z + -6z
17 + Z2 + -6i + 2iz + -6z = 6z + -6z

Combine like terms: 6z + -6z = 0
17 + Z2 + -6i + 2iz + -6z = 0

The solution to this equation could not be determined.

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