z^3-(5+i)z^2+(17+4i)z-13-13i=0

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Solution for z^3-(5+i)z^2+(17+4i)z-13-13i=0 equation: 


Simplifying
z3 + -1(5 + i) * z2 + (17 + 4i) * z + -13 + -13i = 0

Reorder the terms for easier multiplication:
z3 + -1z2(5 + i) + (17 + 4i) * z + -13 + -13i = 0
z3 + (5 * -1z2 + i * -1z2) + (17 + 4i) * z + -13 + -13i = 0

Reorder the terms:
z3 + (-1iz2 + -5z2) + (17 + 4i) * z + -13 + -13i = 0
z3 + (-1iz2 + -5z2) + (17 + 4i) * z + -13 + -13i = 0

Reorder the terms for easier multiplication:
z3 + -1iz2 + -5z2 + z(17 + 4i) + -13 + -13i = 0
z3 + -1iz2 + -5z2 + (17 * z + 4i * z) + -13 + -13i = 0

Reorder the terms:
z3 + -1iz2 + -5z2 + (4iz + 17z) + -13 + -13i = 0
z3 + -1iz2 + -5z2 + (4iz + 17z) + -13 + -13i = 0

Reorder the terms:
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0

Solving
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0

Solving for variable 'i'.

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

Add '13' to each side of the equation.
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + 13 + z3 = 0 + 13

Reorder the terms:
-13 + 13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + 13
-13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + 13

Combine like terms: 0 + 13 = 13
-13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 13

Add '-17z' to each side of the equation.
-13i + 4iz + -1iz2 + 17z + -5z2 + -17z + z3 = 13 + -17z

Reorder the terms:
-13i + 4iz + -1iz2 + 17z + -17z + -5z2 + z3 = 13 + -17z

Combine like terms: 17z + -17z = 0
-13i + 4iz + -1iz2 + 0 + -5z2 + z3 = 13 + -17z
-13i + 4iz + -1iz2 + -5z2 + z3 = 13 + -17z

Add '5z2' to each side of the equation.
-13i + 4iz + -1iz2 + -5z2 + 5z2 + z3 = 13 + -17z + 5z2

Combine like terms: -5z2 + 5z2 = 0
-13i + 4iz + -1iz2 + 0 + z3 = 13 + -17z + 5z2
-13i + 4iz + -1iz2 + z3 = 13 + -17z + 5z2

Add '-1z3' to each side of the equation.
-13i + 4iz + -1iz2 + z3 + -1z3 = 13 + -17z + 5z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-13i + 4iz + -1iz2 + 0 = 13 + -17z + 5z2 + -1z3
-13i + 4iz + -1iz2 = 13 + -17z + 5z2 + -1z3

Reorder the terms:
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 13 + -17z + 5z2 + -1z3 + -13 + 17z + -5z2 + z3

Reorder the terms:
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 13 + -13 + -17z + 17z + 5z2 + -5z2 + -1z3 + z3

Combine like terms: 13 + -13 = 0
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + -17z + 17z + 5z2 + -5z2 + -1z3 + z3
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = -17z + 17z + 5z2 + -5z2 + -1z3 + z3

Combine like terms: -17z + 17z = 0
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + 5z2 + -5z2 + -1z3 + z3
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 5z2 + -5z2 + -1z3 + z3

Combine like terms: 5z2 + -5z2 = 0
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0 + -1z3 + z3
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
-13 + -13i + 4iz + -1iz2 + 17z + -5z2 + z3 = 0

The solution to this equation could not be determined.

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