0=z^2+(-6+i)z+(8-4i)

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Solution for 0=z^2+(-6+i)z+(8-4i) equation: 


Simplifying
0 = z2 + (-6 + i) * z + (8 + -4i)

Reorder the terms for easier multiplication:
0 = z2 + z(-6 + i) + (8 + -4i)
0 = z2 + (-6 * z + i * z) + (8 + -4i)

Reorder the terms:
0 = z2 + (iz + -6z) + (8 + -4i)
0 = z2 + (iz + -6z) + (8 + -4i)

Remove parenthesis around (8 + -4i)
0 = z2 + iz + -6z + 8 + -4i

Reorder the terms:
0 = 8 + -4i + iz + -6z + z2

Solving
0 = 8 + -4i + iz + -6z + z2

Solving for variable 'i'.

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

Add '4i' to each side of the equation.
0 + 4i = 8 + -4i + iz + -6z + 4i + z2
Remove the zero:
4i = 8 + -4i + iz + -6z + 4i + z2

Reorder the terms:
4i = 8 + -4i + 4i + iz + -6z + z2

Combine like terms: -4i + 4i = 0
4i = 8 + 0 + iz + -6z + z2
4i = 8 + iz + -6z + z2

Add '-1iz' to each side of the equation.
4i + -1iz = 8 + iz + -6z + -1iz + z2

Reorder the terms:
4i + -1iz = 8 + iz + -1iz + -6z + z2

Combine like terms: iz + -1iz = 0
4i + -1iz = 8 + 0 + -6z + z2
4i + -1iz = 8 + -6z + z2

Reorder the terms:
-8 + 4i + -1iz + 6z + -1z2 = 8 + -6z + z2 + -8 + 6z + -1z2

Reorder the terms:
-8 + 4i + -1iz + 6z + -1z2 = 8 + -8 + -6z + 6z + z2 + -1z2

Combine like terms: 8 + -8 = 0
-8 + 4i + -1iz + 6z + -1z2 = 0 + -6z + 6z + z2 + -1z2
-8 + 4i + -1iz + 6z + -1z2 = -6z + 6z + z2 + -1z2

Combine like terms: -6z + 6z = 0
-8 + 4i + -1iz + 6z + -1z2 = 0 + z2 + -1z2
-8 + 4i + -1iz + 6z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-8 + 4i + -1iz + 6z + -1z2 = 0

The solution to this equation could not be determined.

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