Z^2-(5-6i)z-2+14i=0

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Solution for Z^2-(5-6i)z-2+14i=0 equation: 


Simplifying
Z2 + -1(5 + -6i) * z + -2 + 14i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(5 + -6i) + -2 + 14i = 0
Z2 + (5 * -1z + -6i * -1z) + -2 + 14i = 0

Reorder the terms:
Z2 + (6iz + -5z) + -2 + 14i = 0
Z2 + (6iz + -5z) + -2 + 14i = 0

Reorder the terms:
-2 + Z2 + 14i + 6iz + -5z = 0

Solving
-2 + Z2 + 14i + 6iz + -5z = 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 + 14i + 6iz + 2 + -5z = 0 + 2

Reorder the terms:
-2 + 2 + Z2 + 14i + 6iz + -5z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + Z2 + 14i + 6iz + -5z = 0 + 2
Z2 + 14i + 6iz + -5z = 0 + 2

Combine like terms: 0 + 2 = 2
Z2 + 14i + 6iz + -5z = 2

Add '-14i' to each side of the equation.
Z2 + 14i + 6iz + -14i + -5z = 2 + -14i

Reorder the terms:
Z2 + 14i + -14i + 6iz + -5z = 2 + -14i

Combine like terms: 14i + -14i = 0
Z2 + 0 + 6iz + -5z = 2 + -14i
Z2 + 6iz + -5z = 2 + -14i

Add '-6iz' to each side of the equation.
Z2 + 6iz + -6iz + -5z = 2 + -14i + -6iz

Combine like terms: 6iz + -6iz = 0
Z2 + 0 + -5z = 2 + -14i + -6iz
Z2 + -5z = 2 + -14i + -6iz

Add '5z' to each side of the equation.
Z2 + -5z + 5z = 2 + -14i + -6iz + 5z

Combine like terms: -5z + 5z = 0
Z2 + 0 = 2 + -14i + -6iz + 5z
Z2 = 2 + -14i + -6iz + 5z

Simplifying
Z2 = 2 + -14i + -6iz + 5z

Reorder the terms:
-2 + Z2 + 14i + 6iz + -5z = 2 + -14i + -6iz + 5z + -2 + 14i + 6iz + -5z

Reorder the terms:
-2 + Z2 + 14i + 6iz + -5z = 2 + -2 + -14i + 14i + -6iz + 6iz + 5z + -5z

Combine like terms: 2 + -2 = 0
-2 + Z2 + 14i + 6iz + -5z = 0 + -14i + 14i + -6iz + 6iz + 5z + -5z
-2 + Z2 + 14i + 6iz + -5z = -14i + 14i + -6iz + 6iz + 5z + -5z

Combine like terms: -14i + 14i = 0
-2 + Z2 + 14i + 6iz + -5z = 0 + -6iz + 6iz + 5z + -5z
-2 + Z2 + 14i + 6iz + -5z = -6iz + 6iz + 5z + -5z

Combine like terms: -6iz + 6iz = 0
-2 + Z2 + 14i + 6iz + -5z = 0 + 5z + -5z
-2 + Z2 + 14i + 6iz + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
-2 + Z2 + 14i + 6iz + -5z = 0

The solution to this equation could not be determined.

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