z^2-1*(6+2i)*z+8+6i=0

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Solution for z^2-1*(6+2i)*z+8+6i=0 equation: 


Simplifying
z2 + -1(6 + 2i) * z + 8 + 6i = 0

Reorder the terms for easier multiplication:
z2 + -1z(6 + 2i) + 8 + 6i = 0
z2 + (6 * -1z + 2i * -1z) + 8 + 6i = 0

Reorder the terms:
z2 + (-2iz + -6z) + 8 + 6i = 0
z2 + (-2iz + -6z) + 8 + 6i = 0

Reorder the terms:
8 + 6i + -2iz + -6z + z2 = 0

Solving
8 + 6i + -2iz + -6z + z2 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + 6i + -2iz + -6z + -8 + z2 = 0 + -8

Reorder the terms:
8 + -8 + 6i + -2iz + -6z + z2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 6i + -2iz + -6z + z2 = 0 + -8
6i + -2iz + -6z + z2 = 0 + -8

Combine like terms: 0 + -8 = -8
6i + -2iz + -6z + z2 = -8

Add '6z' to each side of the equation.
6i + -2iz + -6z + 6z + z2 = -8 + 6z

Combine like terms: -6z + 6z = 0
6i + -2iz + 0 + z2 = -8 + 6z
6i + -2iz + z2 = -8 + 6z

Add '-1z2' to each side of the equation.
6i + -2iz + z2 + -1z2 = -8 + 6z + -1z2

Combine like terms: z2 + -1z2 = 0
6i + -2iz + 0 = -8 + 6z + -1z2
6i + -2iz = -8 + 6z + -1z2

Reorder the terms:
8 + 6i + -2iz + -6z + z2 = -8 + 6z + -1z2 + 8 + -6z + z2

Reorder the terms:
8 + 6i + -2iz + -6z + z2 = -8 + 8 + 6z + -6z + -1z2 + z2

Combine like terms: -8 + 8 = 0
8 + 6i + -2iz + -6z + z2 = 0 + 6z + -6z + -1z2 + z2
8 + 6i + -2iz + -6z + z2 = 6z + -6z + -1z2 + z2

Combine like terms: 6z + -6z = 0
8 + 6i + -2iz + -6z + z2 = 0 + -1z2 + z2
8 + 6i + -2iz + -6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
8 + 6i + -2iz + -6z + z2 = 0

The solution to this equation could not be determined.

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