z^3=(1-sqrt(3)*i)

Solution for z^3=(1-sqrt(3)*i) equation:

Simplifying
z3 = (1 + -1sqrt(3) * i)

Reorder the terms for easier multiplication:
z3 = (1 + -1 * 3qrst * i)

Multiply -1 * 3
z3 = (1 + -3qrst * i)

Multiply qrst * i
z3 = (1 + -3iqrst)

Remove parenthesis around (1 + -3iqrst)
z3 = 1 + -3iqrst

Solving
z3 = 1 + -3iqrst

Solving for variable 'z'.

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

Simplifying
z3 = 1 + -3iqrst

Reorder the terms:
-1 + 3iqrst + z3 = 1 + -3iqrst + -1 + 3iqrst

Reorder the terms:
-1 + 3iqrst + z3 = 1 + -1 + -3iqrst + 3iqrst

Combine like terms: 1 + -1 = 0
-1 + 3iqrst + z3 = 0 + -3iqrst + 3iqrst
-1 + 3iqrst + z3 = -3iqrst + 3iqrst

Combine like terms: -3iqrst + 3iqrst = 0
-1 + 3iqrst + z3 = 0

The solution to this equation could not be determined.