z^2-(4-i)z+5-5i=0

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Solution for z^2-(4-i)z+5-5i=0 equation: 


Simplifying
z2 + -1(4 + -1i) * z + 5 + -5i = 0

Reorder the terms for easier multiplication:
z2 + -1z(4 + -1i) + 5 + -5i = 0
z2 + (4 * -1z + -1i * -1z) + 5 + -5i = 0

Reorder the terms:
z2 + (1iz + -4z) + 5 + -5i = 0
z2 + (1iz + -4z) + 5 + -5i = 0

Reorder the terms:
5 + -5i + 1iz + -4z + z2 = 0

Solving
5 + -5i + 1iz + -4z + z2 = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5i + 1iz + -4z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + -5i + 1iz + -4z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5i + 1iz + -4z + z2 = 0 + -5
-5i + 1iz + -4z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5i + 1iz + -4z + z2 = -5

Add '4z' to each side of the equation.
-5i + 1iz + -4z + 4z + z2 = -5 + 4z

Combine like terms: -4z + 4z = 0
-5i + 1iz + 0 + z2 = -5 + 4z
-5i + 1iz + z2 = -5 + 4z

Add '-1z2' to each side of the equation.
-5i + 1iz + z2 + -1z2 = -5 + 4z + -1z2

Combine like terms: z2 + -1z2 = 0
-5i + 1iz + 0 = -5 + 4z + -1z2
-5i + 1iz = -5 + 4z + -1z2

Reorder the terms:
5 + -5i + 1iz + -4z + z2 = -5 + 4z + -1z2 + 5 + -4z + z2

Reorder the terms:
5 + -5i + 1iz + -4z + z2 = -5 + 5 + 4z + -4z + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + -5i + 1iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2
5 + -5i + 1iz + -4z + z2 = 4z + -4z + -1z2 + z2

Combine like terms: 4z + -4z = 0
5 + -5i + 1iz + -4z + z2 = 0 + -1z2 + z2
5 + -5i + 1iz + -4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + -5i + 1iz + -4z + z2 = 0

The solution to this equation could not be determined.

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