Z^3+6z^2+12z+8-3i=o

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Solution for Z^3+6z^2+12z+8-3i=o equation:


Simplifying
Z3 + 6z2 + 12z + 8 + -3i = o

Reorder the terms:
8 + Z3 + -3i + 12z + 6z2 = o

Solving
8 + Z3 + -3i + 12z + 6z2 = o

Solving for variable 'Z'.

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

Add '-8' to each side of the equation.
8 + Z3 + -3i + 12z + -8 + 6z2 = -8 + o

Reorder the terms:
8 + -8 + Z3 + -3i + 12z + 6z2 = -8 + o

Combine like terms: 8 + -8 = 0
0 + Z3 + -3i + 12z + 6z2 = -8 + o
Z3 + -3i + 12z + 6z2 = -8 + o

Add '3i' to each side of the equation.
Z3 + -3i + 12z + 3i + 6z2 = -8 + 3i + o

Reorder the terms:
Z3 + -3i + 3i + 12z + 6z2 = -8 + 3i + o

Combine like terms: -3i + 3i = 0
Z3 + 0 + 12z + 6z2 = -8 + 3i + o
Z3 + 12z + 6z2 = -8 + 3i + o

Add '-12z' to each side of the equation.
Z3 + 12z + -12z + 6z2 = -8 + 3i + o + -12z

Combine like terms: 12z + -12z = 0
Z3 + 0 + 6z2 = -8 + 3i + o + -12z
Z3 + 6z2 = -8 + 3i + o + -12z

Add '-6z2' to each side of the equation.
Z3 + 6z2 + -6z2 = -8 + 3i + o + -12z + -6z2

Combine like terms: 6z2 + -6z2 = 0
Z3 + 0 = -8 + 3i + o + -12z + -6z2
Z3 = -8 + 3i + o + -12z + -6z2

Simplifying
Z3 = -8 + 3i + o + -12z + -6z2

Reorder the terms:
8 + Z3 + -3i + -1o + 12z + 6z2 = -8 + 3i + o + -12z + -6z2 + 8 + -3i + -1o + 12z + 6z2

Reorder the terms:
8 + Z3 + -3i + -1o + 12z + 6z2 = -8 + 8 + 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2

Combine like terms: -8 + 8 = 0
8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2
8 + Z3 + -3i + -1o + 12z + 6z2 = 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2

Combine like terms: 3i + -3i = 0
8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + o + -1o + -12z + 12z + -6z2 + 6z2
8 + Z3 + -3i + -1o + 12z + 6z2 = o + -1o + -12z + 12z + -6z2 + 6z2

Combine like terms: o + -1o = 0
8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + -12z + 12z + -6z2 + 6z2
8 + Z3 + -3i + -1o + 12z + 6z2 = -12z + 12z + -6z2 + 6z2

Combine like terms: -12z + 12z = 0
8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + -6z2 + 6z2
8 + Z3 + -3i + -1o + 12z + 6z2 = -6z2 + 6z2

Combine like terms: -6z2 + 6z2 = 0
8 + Z3 + -3i + -1o + 12z + 6z2 = 0

The solution to this equation could not be determined.

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