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

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


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

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

Multiply -1 * 3
z3 + 2z2 + -3i * z + -1 + -3i = 0

Multiply i * z
z3 + 2z2 + -3iz + -1 + -3i = 0

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

Solving
-1 + -3i + -3iz + 2z2 + z3 = 0

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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