z^4+i+1=0

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Solution for z^4+i+1=0 equation:


Simplifying
z4 + i + 1 = 0

Reorder the terms:
1 + i + z4 = 0

Solving
1 + i + z4 = 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 + i + -1 + z4 = 0 + -1

Reorder the terms:
1 + -1 + i + z4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + i + z4 = 0 + -1
i + z4 = 0 + -1

Combine like terms: 0 + -1 = -1
i + z4 = -1

Add '-1z4' to each side of the equation.
i + z4 + -1z4 = -1 + -1z4

Combine like terms: z4 + -1z4 = 0
i + 0 = -1 + -1z4
i = -1 + -1z4

Simplifying
i = -1 + -1z4

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