z^4=8((sqrt(3))i-1)

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Solution for z^4=8((sqrt(3))i-1) equation:


Simplifying
z4 = 8((sqrt(3)) * i + -1)

Reorder the terms for easier multiplication:
z4 = 8((3qrst) * i + -1)

Remove parenthesis around (3qrst)
z4 = 8(3qrst * i + -1)

Multiply qrst * i
z4 = 8(3iqrst + -1)

Reorder the terms:
z4 = 8(-1 + 3iqrst)
z4 = (-1 * 8 + 3iqrst * 8)
z4 = (-8 + 24iqrst)

Solving
z4 = -8 + 24iqrst

Solving for variable 'z'.

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

Simplifying
z4 = -8 + 24iqrst

Reorder the terms:
8 + -24iqrst + z4 = -8 + 24iqrst + 8 + -24iqrst

Reorder the terms:
8 + -24iqrst + z4 = -8 + 8 + 24iqrst + -24iqrst

Combine like terms: -8 + 8 = 0
8 + -24iqrst + z4 = 0 + 24iqrst + -24iqrst
8 + -24iqrst + z4 = 24iqrst + -24iqrst

Combine like terms: 24iqrst + -24iqrst = 0
8 + -24iqrst + z4 = 0

The solution to this equation could not be determined.

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