Z^2-(3+I)z+(2+I)=0

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Solution for Z^2-(3+I)z+(2+I)=0 equation: 


Simplifying
Z2 + -1(3 + I) * z + (2 + I) = 0

Reorder the terms for easier multiplication:
Z2 + -1z(3 + I) + (2 + I) = 0
Z2 + (3 * -1z + I * -1z) + (2 + I) = 0
Z2 + (-3z + -1zI) + (2 + I) = 0

Remove parenthesis around (2 + I)
Z2 + -3z + -1zI + 2 + I = 0

Reorder the terms:
2 + I + Z2 + -3z + -1zI = 0

Solving
2 + I + Z2 + -3z + -1zI = 0

Solving for variable 'I'.

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

Add '-2' to each side of the equation.
2 + I + Z2 + -3z + -2 + -1zI = 0 + -2

Reorder the terms:
2 + -2 + I + Z2 + -3z + -1zI = 0 + -2

Combine like terms: 2 + -2 = 0
0 + I + Z2 + -3z + -1zI = 0 + -2
I + Z2 + -3z + -1zI = 0 + -2

Combine like terms: 0 + -2 = -2
I + Z2 + -3z + -1zI = -2

Add '-1Z2' to each side of the equation.
I + Z2 + -3z + -1Z2 + -1zI = -2 + -1Z2

Reorder the terms:
I + Z2 + -1Z2 + -3z + -1zI = -2 + -1Z2

Combine like terms: Z2 + -1Z2 = 0
I + 0 + -3z + -1zI = -2 + -1Z2
I + -3z + -1zI = -2 + -1Z2

Add '3z' to each side of the equation.
I + -3z + 3z + -1zI = -2 + -1Z2 + 3z

Combine like terms: -3z + 3z = 0
I + 0 + -1zI = -2 + -1Z2 + 3z
I + -1zI = -2 + -1Z2 + 3z

Reorder the terms:
2 + I + Z2 + -3z + -1zI = -2 + -1Z2 + 3z + 2 + Z2 + -3z

Reorder the terms:
2 + I + Z2 + -3z + -1zI = -2 + 2 + -1Z2 + Z2 + 3z + -3z

Combine like terms: -2 + 2 = 0
2 + I + Z2 + -3z + -1zI = 0 + -1Z2 + Z2 + 3z + -3z
2 + I + Z2 + -3z + -1zI = -1Z2 + Z2 + 3z + -3z

Combine like terms: -1Z2 + Z2 = 0
2 + I + Z2 + -3z + -1zI = 0 + 3z + -3z
2 + I + Z2 + -3z + -1zI = 3z + -3z

Combine like terms: 3z + -3z = 0
2 + I + Z2 + -3z + -1zI = 0

The solution to this equation could not be determined.

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