z^2-(6+i)*z+11-7i=0

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Solution for z^2-(6+i)*z+11-7i=0 equation: 


Simplifying
z2 + -1(6 + i) * z + 11 + -7i = 0

Reorder the terms for easier multiplication:
z2 + -1z(6 + i) + 11 + -7i = 0
z2 + (6 * -1z + i * -1z) + 11 + -7i = 0

Reorder the terms:
z2 + (-1iz + -6z) + 11 + -7i = 0
z2 + (-1iz + -6z) + 11 + -7i = 0

Reorder the terms:
11 + -7i + -1iz + -6z + z2 = 0

Solving
11 + -7i + -1iz + -6z + z2 = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + -7i + -1iz + -6z + -11 + z2 = 0 + -11

Reorder the terms:
11 + -11 + -7i + -1iz + -6z + z2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7i + -1iz + -6z + z2 = 0 + -11
-7i + -1iz + -6z + z2 = 0 + -11

Combine like terms: 0 + -11 = -11
-7i + -1iz + -6z + z2 = -11

Add '6z' to each side of the equation.
-7i + -1iz + -6z + 6z + z2 = -11 + 6z

Combine like terms: -6z + 6z = 0
-7i + -1iz + 0 + z2 = -11 + 6z
-7i + -1iz + z2 = -11 + 6z

Add '-1z2' to each side of the equation.
-7i + -1iz + z2 + -1z2 = -11 + 6z + -1z2

Combine like terms: z2 + -1z2 = 0
-7i + -1iz + 0 = -11 + 6z + -1z2
-7i + -1iz = -11 + 6z + -1z2

Reorder the terms:
11 + -7i + -1iz + -6z + z2 = -11 + 6z + -1z2 + 11 + -6z + z2

Reorder the terms:
11 + -7i + -1iz + -6z + z2 = -11 + 11 + 6z + -6z + -1z2 + z2

Combine like terms: -11 + 11 = 0
11 + -7i + -1iz + -6z + z2 = 0 + 6z + -6z + -1z2 + z2
11 + -7i + -1iz + -6z + z2 = 6z + -6z + -1z2 + z2

Combine like terms: 6z + -6z = 0
11 + -7i + -1iz + -6z + z2 = 0 + -1z2 + z2
11 + -7i + -1iz + -6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
11 + -7i + -1iz + -6z + z2 = 0

The solution to this equation could not be determined.

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