z^3+3iz-1-i=0

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Solution for z^3+3iz-1-i=0 equation:


Simplifying
z3 + 3iz + -1 + -1i = 0

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

 

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