Z^2-(2+i)z+(4-3i)=0

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Solution for Z^2-(2+i)z+(4-3i)=0 equation: 


Simplifying
Z2 + -1(2 + i) * z + (4 + -3i) = 0

Reorder the terms for easier multiplication:
Z2 + -1z(2 + i) + (4 + -3i) = 0
Z2 + (2 * -1z + i * -1z) + (4 + -3i) = 0

Reorder the terms:
Z2 + (-1iz + -2z) + (4 + -3i) = 0
Z2 + (-1iz + -2z) + (4 + -3i) = 0

Remove parenthesis around (4 + -3i)
Z2 + -1iz + -2z + 4 + -3i = 0

Reorder the terms:
4 + Z2 + -3i + -1iz + -2z = 0

Solving
4 + Z2 + -3i + -1iz + -2z = 0

Solving for variable 'Z'.

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

Add '-4' to each side of the equation.
4 + Z2 + -3i + -1iz + -4 + -2z = 0 + -4

Reorder the terms:
4 + -4 + Z2 + -3i + -1iz + -2z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Z2 + -3i + -1iz + -2z = 0 + -4
Z2 + -3i + -1iz + -2z = 0 + -4

Combine like terms: 0 + -4 = -4
Z2 + -3i + -1iz + -2z = -4

Add '3i' to each side of the equation.
Z2 + -3i + -1iz + 3i + -2z = -4 + 3i

Reorder the terms:
Z2 + -3i + 3i + -1iz + -2z = -4 + 3i

Combine like terms: -3i + 3i = 0
Z2 + 0 + -1iz + -2z = -4 + 3i
Z2 + -1iz + -2z = -4 + 3i

Add 'iz' to each side of the equation.
Z2 + -1iz + iz + -2z = -4 + 3i + iz

Combine like terms: -1iz + iz = 0
Z2 + 0 + -2z = -4 + 3i + iz
Z2 + -2z = -4 + 3i + iz

Add '2z' to each side of the equation.
Z2 + -2z + 2z = -4 + 3i + iz + 2z

Combine like terms: -2z + 2z = 0
Z2 + 0 = -4 + 3i + iz + 2z
Z2 = -4 + 3i + iz + 2z

Simplifying
Z2 = -4 + 3i + iz + 2z

Reorder the terms:
4 + Z2 + -3i + -1iz + -2z = -4 + 3i + iz + 2z + 4 + -3i + -1iz + -2z

Reorder the terms:
4 + Z2 + -3i + -1iz + -2z = -4 + 4 + 3i + -3i + iz + -1iz + 2z + -2z

Combine like terms: -4 + 4 = 0
4 + Z2 + -3i + -1iz + -2z = 0 + 3i + -3i + iz + -1iz + 2z + -2z
4 + Z2 + -3i + -1iz + -2z = 3i + -3i + iz + -1iz + 2z + -2z

Combine like terms: 3i + -3i = 0
4 + Z2 + -3i + -1iz + -2z = 0 + iz + -1iz + 2z + -2z
4 + Z2 + -3i + -1iz + -2z = iz + -1iz + 2z + -2z

Combine like terms: iz + -1iz = 0
4 + Z2 + -3i + -1iz + -2z = 0 + 2z + -2z
4 + Z2 + -3i + -1iz + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
4 + Z2 + -3i + -1iz + -2z = 0

The solution to this equation could not be determined.

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