z^2-(4+8i)z-12+16i=0

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Solution for z^2-(4+8i)z-12+16i=0 equation: 


Simplifying
z2 + -1(4 + 8i) * z + -12 + 16i = 0

Reorder the terms for easier multiplication:
z2 + -1z(4 + 8i) + -12 + 16i = 0
z2 + (4 * -1z + 8i * -1z) + -12 + 16i = 0

Reorder the terms:
z2 + (-8iz + -4z) + -12 + 16i = 0
z2 + (-8iz + -4z) + -12 + 16i = 0

Reorder the terms:
-12 + 16i + -8iz + -4z + z2 = 0

Solving
-12 + 16i + -8iz + -4z + z2 = 0

Solving for variable 'i'.

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

Add '12' to each side of the equation.
-12 + 16i + -8iz + -4z + 12 + z2 = 0 + 12

Reorder the terms:
-12 + 12 + 16i + -8iz + -4z + z2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 16i + -8iz + -4z + z2 = 0 + 12
16i + -8iz + -4z + z2 = 0 + 12

Combine like terms: 0 + 12 = 12
16i + -8iz + -4z + z2 = 12

Add '4z' to each side of the equation.
16i + -8iz + -4z + 4z + z2 = 12 + 4z

Combine like terms: -4z + 4z = 0
16i + -8iz + 0 + z2 = 12 + 4z
16i + -8iz + z2 = 12 + 4z

Add '-1z2' to each side of the equation.
16i + -8iz + z2 + -1z2 = 12 + 4z + -1z2

Combine like terms: z2 + -1z2 = 0
16i + -8iz + 0 = 12 + 4z + -1z2
16i + -8iz = 12 + 4z + -1z2

Reorder the terms:
-12 + 16i + -8iz + -4z + z2 = 12 + 4z + -1z2 + -12 + -4z + z2

Reorder the terms:
-12 + 16i + -8iz + -4z + z2 = 12 + -12 + 4z + -4z + -1z2 + z2

Combine like terms: 12 + -12 = 0
-12 + 16i + -8iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2
-12 + 16i + -8iz + -4z + z2 = 4z + -4z + -1z2 + z2

Combine like terms: 4z + -4z = 0
-12 + 16i + -8iz + -4z + z2 = 0 + -1z2 + z2
-12 + 16i + -8iz + -4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-12 + 16i + -8iz + -4z + z2 = 0

The solution to this equation could not be determined.

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