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

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


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

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

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

Remove parenthesis around (2 + 3i)
z3 + -3iz2 + -2z2 + -1z + 2 + 3i = 0

Reorder the terms:
2 + 3i + -3iz2 + -1z + -2z2 + z3 = 0

Solving
2 + 3i + -3iz2 + -1z + -2z2 + z3 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + 3i + -3iz2 + -1z + -2z2 + -2 + z3 = 0 + -2

Reorder the terms:
2 + -2 + 3i + -3iz2 + -1z + -2z2 + z3 = 0 + -2

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

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

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

Reorder the terms:
3i + -3iz2 + -1z + z + -2z2 + z3 = -2 + z

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

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

Combine like terms: -2z2 + 2z2 = 0
3i + -3iz2 + 0 + z3 = -2 + z + 2z2
3i + -3iz2 + z3 = -2 + z + 2z2

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

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

Reorder the terms:
2 + 3i + -3iz2 + -1z + -2z2 + z3 = -2 + z + 2z2 + -1z3 + 2 + -1z + -2z2 + z3

Reorder the terms:
2 + 3i + -3iz2 + -1z + -2z2 + z3 = -2 + 2 + z + -1z + 2z2 + -2z2 + -1z3 + z3

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

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

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

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

The solution to this equation could not be determined.

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