Z^2-(5-I)z+8-I=0

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Solution for Z^2-(5-I)z+8-I=0 equation: 


Simplifying
Z2 + -1(5 + -1I) * z + 8 + -1I = 0

Reorder the terms for easier multiplication:
Z2 + -1z(5 + -1I) + 8 + -1I = 0
Z2 + (5 * -1z + -1I * -1z) + 8 + -1I = 0
Z2 + (-5z + 1zI) + 8 + -1I = 0

Reorder the terms:
8 + -1I + Z2 + -5z + 1zI = 0

Solving
8 + -1I + Z2 + -5z + 1zI = 0

Solving for variable 'I'.

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

Add '-8' to each side of the equation.
8 + -1I + Z2 + -5z + -8 + 1zI = 0 + -8

Reorder the terms:
8 + -8 + -1I + Z2 + -5z + 1zI = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1I + Z2 + -5z + 1zI = 0 + -8
-1I + Z2 + -5z + 1zI = 0 + -8

Combine like terms: 0 + -8 = -8
-1I + Z2 + -5z + 1zI = -8

Add '-1Z2' to each side of the equation.
-1I + Z2 + -5z + -1Z2 + 1zI = -8 + -1Z2

Reorder the terms:
-1I + Z2 + -1Z2 + -5z + 1zI = -8 + -1Z2

Combine like terms: Z2 + -1Z2 = 0
-1I + 0 + -5z + 1zI = -8 + -1Z2
-1I + -5z + 1zI = -8 + -1Z2

Add '5z' to each side of the equation.
-1I + -5z + 5z + 1zI = -8 + -1Z2 + 5z

Combine like terms: -5z + 5z = 0
-1I + 0 + 1zI = -8 + -1Z2 + 5z
-1I + 1zI = -8 + -1Z2 + 5z

Reorder the terms:
8 + -1I + Z2 + -5z + 1zI = -8 + -1Z2 + 5z + 8 + Z2 + -5z

Reorder the terms:
8 + -1I + Z2 + -5z + 1zI = -8 + 8 + -1Z2 + Z2 + 5z + -5z

Combine like terms: -8 + 8 = 0
8 + -1I + Z2 + -5z + 1zI = 0 + -1Z2 + Z2 + 5z + -5z
8 + -1I + Z2 + -5z + 1zI = -1Z2 + Z2 + 5z + -5z

Combine like terms: -1Z2 + Z2 = 0
8 + -1I + Z2 + -5z + 1zI = 0 + 5z + -5z
8 + -1I + Z2 + -5z + 1zI = 5z + -5z

Combine like terms: 5z + -5z = 0
8 + -1I + Z2 + -5z + 1zI = 0

The solution to this equation could not be determined.

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