Z^3+6iz^2+8z+9i=0

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Solution for Z^3+6iz^2+8z+9i=0 equation:


Simplifying
Z3 + 6iz2 + 8z + 9i = 0

Reorder the terms:
Z3 + 9i + 6iz2 + 8z = 0

Solving
Z3 + 9i + 6iz2 + 8z = 0

Solving for variable 'Z'.

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

Add '-9i' to each side of the equation.
Z3 + 9i + 6iz2 + -9i + 8z = 0 + -9i

Reorder the terms:
Z3 + 9i + -9i + 6iz2 + 8z = 0 + -9i

Combine like terms: 9i + -9i = 0
Z3 + 0 + 6iz2 + 8z = 0 + -9i
Z3 + 6iz2 + 8z = 0 + -9i
Remove the zero:
Z3 + 6iz2 + 8z = -9i

Add '-6iz2' to each side of the equation.
Z3 + 6iz2 + -6iz2 + 8z = -9i + -6iz2

Combine like terms: 6iz2 + -6iz2 = 0
Z3 + 0 + 8z = -9i + -6iz2
Z3 + 8z = -9i + -6iz2

Add '-8z' to each side of the equation.
Z3 + 8z + -8z = -9i + -6iz2 + -8z

Combine like terms: 8z + -8z = 0
Z3 + 0 = -9i + -6iz2 + -8z
Z3 = -9i + -6iz2 + -8z

Simplifying
Z3 = -9i + -6iz2 + -8z

Reorder the terms:
Z3 + 9i + 6iz2 + 8z = -9i + 9i + -6iz2 + 6iz2 + -8z + 8z

Combine like terms: -9i + 9i = 0
Z3 + 9i + 6iz2 + 8z = 0 + -6iz2 + 6iz2 + -8z + 8z
Z3 + 9i + 6iz2 + 8z = -6iz2 + 6iz2 + -8z + 8z

Combine like terms: -6iz2 + 6iz2 = 0
Z3 + 9i + 6iz2 + 8z = 0 + -8z + 8z
Z3 + 9i + 6iz2 + 8z = -8z + 8z

Combine like terms: -8z + 8z = 0
Z3 + 9i + 6iz2 + 8z = 0

The solution to this equation could not be determined.

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