z^3-(4+2i)z^2+(8+8i)z-16i=0

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Solution for z^3-(4+2i)z^2+(8+8i)z-16i=0 equation: 


Simplifying
z3 + -1(4 + 2i) * z2 + (8 + 8i) * z + -16i = 0

Reorder the terms for easier multiplication:
z3 + -1z2(4 + 2i) + (8 + 8i) * z + -16i = 0
z3 + (4 * -1z2 + 2i * -1z2) + (8 + 8i) * z + -16i = 0

Reorder the terms:
z3 + (-2iz2 + -4z2) + (8 + 8i) * z + -16i = 0
z3 + (-2iz2 + -4z2) + (8 + 8i) * z + -16i = 0

Reorder the terms for easier multiplication:
z3 + -2iz2 + -4z2 + z(8 + 8i) + -16i = 0
z3 + -2iz2 + -4z2 + (8 * z + 8i * z) + -16i = 0

Reorder the terms:
z3 + -2iz2 + -4z2 + (8iz + 8z) + -16i = 0
z3 + -2iz2 + -4z2 + (8iz + 8z) + -16i = 0

Reorder the terms:
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 0

Solving
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 0

Solving for variable 'i'.

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

Add '-8z' to each side of the equation.
-16i + 8iz + -2iz2 + 8z + -4z2 + -8z + z3 = 0 + -8z

Reorder the terms:
-16i + 8iz + -2iz2 + 8z + -8z + -4z2 + z3 = 0 + -8z

Combine like terms: 8z + -8z = 0
-16i + 8iz + -2iz2 + 0 + -4z2 + z3 = 0 + -8z
-16i + 8iz + -2iz2 + -4z2 + z3 = 0 + -8z
Remove the zero:
-16i + 8iz + -2iz2 + -4z2 + z3 = -8z

Add '4z2' to each side of the equation.
-16i + 8iz + -2iz2 + -4z2 + 4z2 + z3 = -8z + 4z2

Combine like terms: -4z2 + 4z2 = 0
-16i + 8iz + -2iz2 + 0 + z3 = -8z + 4z2
-16i + 8iz + -2iz2 + z3 = -8z + 4z2

Add '-1z3' to each side of the equation.
-16i + 8iz + -2iz2 + z3 + -1z3 = -8z + 4z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-16i + 8iz + -2iz2 + 0 = -8z + 4z2 + -1z3
-16i + 8iz + -2iz2 = -8z + 4z2 + -1z3

Reorder the terms:
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = -8z + 8z + 4z2 + -4z2 + -1z3 + z3

Combine like terms: -8z + 8z = 0
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 0 + 4z2 + -4z2 + -1z3 + z3
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 4z2 + -4z2 + -1z3 + z3

Combine like terms: 4z2 + -4z2 = 0
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 0 + -1z3 + z3
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
-16i + 8iz + -2iz2 + 8z + -4z2 + z3 = 0

The solution to this equation could not be determined.

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