z^3+3z^2+3iz^2+6z+6iz+24+8i=0

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Solution for z^3+3z^2+3iz^2+6z+6iz+24+8i=0 equation: 


Simplifying
z3 + 3z2 + 3iz2 + 6z + 6iz + 24 + 8i = 0

Reorder the terms:
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0

Solving
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0

Solving for variable 'i'.

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

Add '-24' to each side of the equation.
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + -24 + z3 = 0 + -24

Reorder the terms:
24 + -24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -24
8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -24

Combine like terms: 0 + -24 = -24
8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -24

Add '-6z' to each side of the equation.
8i + 6iz + 3iz2 + 6z + 3z2 + -6z + z3 = -24 + -6z

Reorder the terms:
8i + 6iz + 3iz2 + 6z + -6z + 3z2 + z3 = -24 + -6z

Combine like terms: 6z + -6z = 0
8i + 6iz + 3iz2 + 0 + 3z2 + z3 = -24 + -6z
8i + 6iz + 3iz2 + 3z2 + z3 = -24 + -6z

Add '-3z2' to each side of the equation.
8i + 6iz + 3iz2 + 3z2 + -3z2 + z3 = -24 + -6z + -3z2

Combine like terms: 3z2 + -3z2 = 0
8i + 6iz + 3iz2 + 0 + z3 = -24 + -6z + -3z2
8i + 6iz + 3iz2 + z3 = -24 + -6z + -3z2

Add '-1z3' to each side of the equation.
8i + 6iz + 3iz2 + z3 + -1z3 = -24 + -6z + -3z2 + -1z3

Combine like terms: z3 + -1z3 = 0
8i + 6iz + 3iz2 + 0 = -24 + -6z + -3z2 + -1z3
8i + 6iz + 3iz2 = -24 + -6z + -3z2 + -1z3

Reorder the terms:
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -24 + -6z + -3z2 + -1z3 + 24 + 6z + 3z2 + z3

Reorder the terms:
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -24 + 24 + -6z + 6z + -3z2 + 3z2 + -1z3 + z3

Combine like terms: -24 + 24 = 0
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -6z + 6z + -3z2 + 3z2 + -1z3 + z3
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -6z + 6z + -3z2 + 3z2 + -1z3 + z3

Combine like terms: -6z + 6z = 0
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -3z2 + 3z2 + -1z3 + z3
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -3z2 + 3z2 + -1z3 + z3

Combine like terms: -3z2 + 3z2 = 0
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0 + -1z3 + z3
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
24 + 8i + 6iz + 3iz2 + 6z + 3z2 + z3 = 0

The solution to this equation could not be determined.

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