z^2+z+i=0

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Solution for z^2+z+i=0 equation:


Simplifying
z2 + z + i = 0

Reorder the terms:
i + z + z2 = 0

Solving
i + z + z2 = 0

Solving for variable 'i'.

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

Add '-1z' to each side of the equation.
i + z + -1z + z2 = 0 + -1z

Combine like terms: z + -1z = 0
i + 0 + z2 = 0 + -1z
i + z2 = 0 + -1z
Remove the zero:
i + z2 = -1z

Add '-1z2' to each side of the equation.
i + z2 + -1z2 = -1z + -1z2

Combine like terms: z2 + -1z2 = 0
i + 0 = -1z + -1z2
i = -1z + -1z2

Simplifying
i = -1z + -1z2

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