z^2-(6-4i)z+14-12i=0

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Solution for z^2-(6-4i)z+14-12i=0 equation: 


Simplifying
z2 + -1(6 + -4i) * z + 14 + -12i = 0

Reorder the terms for easier multiplication:
z2 + -1z(6 + -4i) + 14 + -12i = 0
z2 + (6 * -1z + -4i * -1z) + 14 + -12i = 0

Reorder the terms:
z2 + (4iz + -6z) + 14 + -12i = 0
z2 + (4iz + -6z) + 14 + -12i = 0

Reorder the terms:
14 + -12i + 4iz + -6z + z2 = 0

Solving
14 + -12i + 4iz + -6z + z2 = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + -12i + 4iz + -6z + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + -12i + 4iz + -6z + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -12i + 4iz + -6z + z2 = 0 + -14
-12i + 4iz + -6z + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
-12i + 4iz + -6z + z2 = -14

Add '6z' to each side of the equation.
-12i + 4iz + -6z + 6z + z2 = -14 + 6z

Combine like terms: -6z + 6z = 0
-12i + 4iz + 0 + z2 = -14 + 6z
-12i + 4iz + z2 = -14 + 6z

Add '-1z2' to each side of the equation.
-12i + 4iz + z2 + -1z2 = -14 + 6z + -1z2

Combine like terms: z2 + -1z2 = 0
-12i + 4iz + 0 = -14 + 6z + -1z2
-12i + 4iz = -14 + 6z + -1z2

Reorder the terms:
14 + -12i + 4iz + -6z + z2 = -14 + 6z + -1z2 + 14 + -6z + z2

Reorder the terms:
14 + -12i + 4iz + -6z + z2 = -14 + 14 + 6z + -6z + -1z2 + z2

Combine like terms: -14 + 14 = 0
14 + -12i + 4iz + -6z + z2 = 0 + 6z + -6z + -1z2 + z2
14 + -12i + 4iz + -6z + z2 = 6z + -6z + -1z2 + z2

Combine like terms: 6z + -6z = 0
14 + -12i + 4iz + -6z + z2 = 0 + -1z2 + z2
14 + -12i + 4iz + -6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
14 + -12i + 4iz + -6z + z2 = 0

The solution to this equation could not be determined.

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