z^2+(1+i)z+6-2i=0

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Solution for z^2+(1+i)z+6-2i=0 equation: 


Simplifying
z2 + (1 + i) * z + 6 + -2i = 0

Reorder the terms for easier multiplication:
z2 + z(1 + i) + 6 + -2i = 0
z2 + (1 * z + i * z) + 6 + -2i = 0

Reorder the terms:
z2 + (iz + 1z) + 6 + -2i = 0
z2 + (iz + 1z) + 6 + -2i = 0

Reorder the terms:
6 + -2i + iz + 1z + z2 = 0

Solving
6 + -2i + iz + 1z + z2 = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -2i + iz + 1z + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + -2i + iz + 1z + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2i + iz + 1z + z2 = 0 + -6
-2i + iz + 1z + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2i + iz + 1z + z2 = -6

Add '-1z' to each side of the equation.
-2i + iz + 1z + -1z + z2 = -6 + -1z

Combine like terms: 1z + -1z = 0
-2i + iz + 0 + z2 = -6 + -1z
-2i + iz + z2 = -6 + -1z

Add '-1z2' to each side of the equation.
-2i + iz + z2 + -1z2 = -6 + -1z + -1z2

Combine like terms: z2 + -1z2 = 0
-2i + iz + 0 = -6 + -1z + -1z2
-2i + iz = -6 + -1z + -1z2

Reorder the terms:
6 + -2i + iz + z + z2 = -6 + -1z + -1z2 + 6 + z + z2

Reorder the terms:
6 + -2i + iz + z + z2 = -6 + 6 + -1z + z + -1z2 + z2

Combine like terms: -6 + 6 = 0
6 + -2i + iz + z + z2 = 0 + -1z + z + -1z2 + z2
6 + -2i + iz + z + z2 = -1z + z + -1z2 + z2

Combine like terms: -1z + z = 0
6 + -2i + iz + z + z2 = 0 + -1z2 + z2
6 + -2i + iz + z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
6 + -2i + iz + z + z2 = 0

The solution to this equation could not be determined.

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