z^2-(4-2i)z+11-4i=0

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Solution for z^2-(4-2i)z+11-4i=0 equation: 


Simplifying
z2 + -1(4 + -2i) * z + 11 + -4i = 0

Reorder the terms for easier multiplication:
z2 + -1z(4 + -2i) + 11 + -4i = 0
z2 + (4 * -1z + -2i * -1z) + 11 + -4i = 0

Reorder the terms:
z2 + (2iz + -4z) + 11 + -4i = 0
z2 + (2iz + -4z) + 11 + -4i = 0

Reorder the terms:
11 + -4i + 2iz + -4z + z2 = 0

Solving
11 + -4i + 2iz + -4z + 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 + -4i + 2iz + -4z + -11 + z2 = 0 + -11

Reorder the terms:
11 + -11 + -4i + 2iz + -4z + z2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4i + 2iz + -4z + z2 = 0 + -11
-4i + 2iz + -4z + z2 = 0 + -11

Combine like terms: 0 + -11 = -11
-4i + 2iz + -4z + z2 = -11

Add '4z' to each side of the equation.
-4i + 2iz + -4z + 4z + z2 = -11 + 4z

Combine like terms: -4z + 4z = 0
-4i + 2iz + 0 + z2 = -11 + 4z
-4i + 2iz + z2 = -11 + 4z

Add '-1z2' to each side of the equation.
-4i + 2iz + z2 + -1z2 = -11 + 4z + -1z2

Combine like terms: z2 + -1z2 = 0
-4i + 2iz + 0 = -11 + 4z + -1z2
-4i + 2iz = -11 + 4z + -1z2

Reorder the terms:
11 + -4i + 2iz + -4z + z2 = -11 + 4z + -1z2 + 11 + -4z + z2

Reorder the terms:
11 + -4i + 2iz + -4z + z2 = -11 + 11 + 4z + -4z + -1z2 + z2

Combine like terms: -11 + 11 = 0
11 + -4i + 2iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2
11 + -4i + 2iz + -4z + z2 = 4z + -4z + -1z2 + z2

Combine like terms: 4z + -4z = 0
11 + -4i + 2iz + -4z + z2 = 0 + -1z2 + z2
11 + -4i + 2iz + -4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
11 + -4i + 2iz + -4z + z2 = 0

The solution to this equation could not be determined.

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