z^2-z(5+i)+10-5i=0

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Solution for z^2-z(5+i)+10-5i=0 equation: 


Simplifying
z2 + -1z(5 + i) + 10 + -5i = 0
z2 + (5 * -1z + i * -1z) + 10 + -5i = 0

Reorder the terms:
z2 + (-1iz + -5z) + 10 + -5i = 0
z2 + (-1iz + -5z) + 10 + -5i = 0

Reorder the terms:
10 + -5i + -1iz + -5z + z2 = 0

Solving
10 + -5i + -1iz + -5z + z2 = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -5i + -1iz + -5z + -10 + z2 = 0 + -10

Reorder the terms:
10 + -10 + -5i + -1iz + -5z + z2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5i + -1iz + -5z + z2 = 0 + -10
-5i + -1iz + -5z + z2 = 0 + -10

Combine like terms: 0 + -10 = -10
-5i + -1iz + -5z + z2 = -10

Add '5z' to each side of the equation.
-5i + -1iz + -5z + 5z + z2 = -10 + 5z

Combine like terms: -5z + 5z = 0
-5i + -1iz + 0 + z2 = -10 + 5z
-5i + -1iz + z2 = -10 + 5z

Add '-1z2' to each side of the equation.
-5i + -1iz + z2 + -1z2 = -10 + 5z + -1z2

Combine like terms: z2 + -1z2 = 0
-5i + -1iz + 0 = -10 + 5z + -1z2
-5i + -1iz = -10 + 5z + -1z2

Reorder the terms:
10 + -5i + -1iz + -5z + z2 = -10 + 5z + -1z2 + 10 + -5z + z2

Reorder the terms:
10 + -5i + -1iz + -5z + z2 = -10 + 10 + 5z + -5z + -1z2 + z2

Combine like terms: -10 + 10 = 0
10 + -5i + -1iz + -5z + z2 = 0 + 5z + -5z + -1z2 + z2
10 + -5i + -1iz + -5z + z2 = 5z + -5z + -1z2 + z2

Combine like terms: 5z + -5z = 0
10 + -5i + -1iz + -5z + z2 = 0 + -1z2 + z2
10 + -5i + -1iz + -5z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
10 + -5i + -1iz + -5z + z2 = 0

The solution to this equation could not be determined.

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