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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