z^2-2*z+i=0

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


Simplifying
z2 + -2z + i = 0

Reorder the terms:
i + -2z + z2 = 0

Solving
i + -2z + z2 = 0

Solving for variable 'i'.

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

Add '2z' to each side of the equation.
i + -2z + 2z + z2 = 0 + 2z

Combine like terms: -2z + 2z = 0
i + 0 + z2 = 0 + 2z
i + z2 = 0 + 2z
Remove the zero:
i + z2 = 2z

Add '-1z2' to each side of the equation.
i + z2 + -1z2 = 2z + -1z2

Combine like terms: z2 + -1z2 = 0
i + 0 = 2z + -1z2
i = 2z + -1z2

Simplifying
i = 2z + -1z2

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