(z^8+1)=i*(z^8-1)

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Solution for (z^8+1)=i*(z^8-1) equation:


Simplifying
(z8 + 1) = i(z8 + -1)

Reorder the terms:
(1 + z8) = i(z8 + -1)

Remove parenthesis around (1 + z8)
1 + z8 = i(z8 + -1)

Reorder the terms:
1 + z8 = i(-1 + z8)
1 + z8 = (-1 * i + z8 * i)
1 + z8 = (-1i + iz8)

Solving
1 + z8 = -1i + iz8

Solving for variable 'z'.

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

Add '-1iz8' to each side of the equation.
1 + -1iz8 + z8 = -1i + iz8 + -1iz8

Combine like terms: iz8 + -1iz8 = 0
1 + -1iz8 + z8 = -1i + 0
1 + -1iz8 + z8 = -1i

Add '-1' to each side of the equation.
1 + -1iz8 + -1 + z8 = -1 + -1i

Reorder the terms:
1 + -1 + -1iz8 + z8 = -1 + -1i

Combine like terms: 1 + -1 = 0
0 + -1iz8 + z8 = -1 + -1i
-1iz8 + z8 = -1 + -1i

Reorder the terms:
1 + i + -1iz8 + z8 = -1 + -1i + 1 + i

Reorder the terms:
1 + i + -1iz8 + z8 = -1 + 1 + -1i + i

Combine like terms: -1 + 1 = 0
1 + i + -1iz8 + z8 = 0 + -1i + i
1 + i + -1iz8 + z8 = -1i + i

Combine like terms: -1i + i = 0
1 + i + -1iz8 + z8 = 0

The solution to this equation could not be determined.

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