z^3+(-8+i)z^2+(17-8i)z+17=0

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Solution for z^3+(-8+i)z^2+(17-8i)z+17=0 equation: 


Simplifying
z3 + (-8 + i) * z2 + (17 + -8i) * z + 17 = 0

Reorder the terms for easier multiplication:
z3 + z2(-8 + i) + (17 + -8i) * z + 17 = 0
z3 + (-8 * z2 + i * z2) + (17 + -8i) * z + 17 = 0

Reorder the terms:
z3 + (iz2 + -8z2) + (17 + -8i) * z + 17 = 0
z3 + (iz2 + -8z2) + (17 + -8i) * z + 17 = 0

Reorder the terms for easier multiplication:
z3 + iz2 + -8z2 + z(17 + -8i) + 17 = 0
z3 + iz2 + -8z2 + (17 * z + -8i * z) + 17 = 0

Reorder the terms:
z3 + iz2 + -8z2 + (-8iz + 17z) + 17 = 0
z3 + iz2 + -8z2 + (-8iz + 17z) + 17 = 0

Reorder the terms:
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0

Solving
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0

Solving for variable 'i'.

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

Add '-17' to each side of the equation.
17 + -8iz + iz2 + 17z + -8z2 + -17 + z3 = 0 + -17

Reorder the terms:
17 + -17 + -8iz + iz2 + 17z + -8z2 + z3 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -8iz + iz2 + 17z + -8z2 + z3 = 0 + -17
-8iz + iz2 + 17z + -8z2 + z3 = 0 + -17

Combine like terms: 0 + -17 = -17
-8iz + iz2 + 17z + -8z2 + z3 = -17

Add '-17z' to each side of the equation.
-8iz + iz2 + 17z + -8z2 + -17z + z3 = -17 + -17z

Reorder the terms:
-8iz + iz2 + 17z + -17z + -8z2 + z3 = -17 + -17z

Combine like terms: 17z + -17z = 0
-8iz + iz2 + 0 + -8z2 + z3 = -17 + -17z
-8iz + iz2 + -8z2 + z3 = -17 + -17z

Add '8z2' to each side of the equation.
-8iz + iz2 + -8z2 + 8z2 + z3 = -17 + -17z + 8z2

Combine like terms: -8z2 + 8z2 = 0
-8iz + iz2 + 0 + z3 = -17 + -17z + 8z2
-8iz + iz2 + z3 = -17 + -17z + 8z2

Add '-1z3' to each side of the equation.
-8iz + iz2 + z3 + -1z3 = -17 + -17z + 8z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-8iz + iz2 + 0 = -17 + -17z + 8z2 + -1z3
-8iz + iz2 = -17 + -17z + 8z2 + -1z3

Reorder the terms:
17 + -8iz + iz2 + 17z + -8z2 + z3 = -17 + -17z + 8z2 + -1z3 + 17 + 17z + -8z2 + z3

Reorder the terms:
17 + -8iz + iz2 + 17z + -8z2 + z3 = -17 + 17 + -17z + 17z + 8z2 + -8z2 + -1z3 + z3

Combine like terms: -17 + 17 = 0
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0 + -17z + 17z + 8z2 + -8z2 + -1z3 + z3
17 + -8iz + iz2 + 17z + -8z2 + z3 = -17z + 17z + 8z2 + -8z2 + -1z3 + z3

Combine like terms: -17z + 17z = 0
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0 + 8z2 + -8z2 + -1z3 + z3
17 + -8iz + iz2 + 17z + -8z2 + z3 = 8z2 + -8z2 + -1z3 + z3

Combine like terms: 8z2 + -8z2 = 0
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0 + -1z3 + z3
17 + -8iz + iz2 + 17z + -8z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
17 + -8iz + iz2 + 17z + -8z2 + z3 = 0

The solution to this equation could not be determined.

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