z^3-(2+4i)z^2-3(1-3i)z+14-2i=0

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Solution for z^3-(2+4i)z^2-3(1-3i)z+14-2i=0 equation: 


Simplifying
z3 + -1(2 + 4i) * z2 + -3(1 + -3i) * z + 14 + -2i = 0

Reorder the terms for easier multiplication:
z3 + -1z2(2 + 4i) + -3(1 + -3i) * z + 14 + -2i = 0
z3 + (2 * -1z2 + 4i * -1z2) + -3(1 + -3i) * z + 14 + -2i = 0

Reorder the terms:
z3 + (-4iz2 + -2z2) + -3(1 + -3i) * z + 14 + -2i = 0
z3 + (-4iz2 + -2z2) + -3(1 + -3i) * z + 14 + -2i = 0

Reorder the terms for easier multiplication:
z3 + -4iz2 + -2z2 + -3z(1 + -3i) + 14 + -2i = 0
z3 + -4iz2 + -2z2 + (1 * -3z + -3i * -3z) + 14 + -2i = 0

Reorder the terms:
z3 + -4iz2 + -2z2 + (9iz + -3z) + 14 + -2i = 0
z3 + -4iz2 + -2z2 + (9iz + -3z) + 14 + -2i = 0

Reorder the terms:
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0

Solving
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + -14 + z3 = 0 + -14

Reorder the terms:
14 + -14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + -14
-2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + -14

Combine like terms: 0 + -14 = -14
-2i + 9iz + -4iz2 + -3z + -2z2 + z3 = -14

Add '3z' to each side of the equation.
-2i + 9iz + -4iz2 + -3z + -2z2 + 3z + z3 = -14 + 3z

Reorder the terms:
-2i + 9iz + -4iz2 + -3z + 3z + -2z2 + z3 = -14 + 3z

Combine like terms: -3z + 3z = 0
-2i + 9iz + -4iz2 + 0 + -2z2 + z3 = -14 + 3z
-2i + 9iz + -4iz2 + -2z2 + z3 = -14 + 3z

Add '2z2' to each side of the equation.
-2i + 9iz + -4iz2 + -2z2 + 2z2 + z3 = -14 + 3z + 2z2

Combine like terms: -2z2 + 2z2 = 0
-2i + 9iz + -4iz2 + 0 + z3 = -14 + 3z + 2z2
-2i + 9iz + -4iz2 + z3 = -14 + 3z + 2z2

Add '-1z3' to each side of the equation.
-2i + 9iz + -4iz2 + z3 + -1z3 = -14 + 3z + 2z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-2i + 9iz + -4iz2 + 0 = -14 + 3z + 2z2 + -1z3
-2i + 9iz + -4iz2 = -14 + 3z + 2z2 + -1z3

Reorder the terms:
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = -14 + 3z + 2z2 + -1z3 + 14 + -3z + -2z2 + z3

Reorder the terms:
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = -14 + 14 + 3z + -3z + 2z2 + -2z2 + -1z3 + z3

Combine like terms: -14 + 14 = 0
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + 3z + -3z + 2z2 + -2z2 + -1z3 + z3
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 3z + -3z + 2z2 + -2z2 + -1z3 + z3

Combine like terms: 3z + -3z = 0
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + 2z2 + -2z2 + -1z3 + z3
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 2z2 + -2z2 + -1z3 + z3

Combine like terms: 2z2 + -2z2 = 0
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0 + -1z3 + z3
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
14 + -2i + 9iz + -4iz2 + -3z + -2z2 + z3 = 0

The solution to this equation could not be determined.

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