Iz^2-2z+3i=0

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Solution for Iz^2-2z+3i=0 equation: 


Simplifying
Iz2 + -2z + 3i = 0

Reorder the terms:
3i + -2z + z2I = 0

Solving
3i + -2z + z2I = 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.
3i + -2z + 2z + z2I = 0 + 2z

Combine like terms: -2z + 2z = 0
3i + 0 + z2I = 0 + 2z
3i + z2I = 0 + 2z
Remove the zero:
3i + z2I = 2z

Add '-1z2I' to each side of the equation.
3i + z2I + -1z2I = 2z + -1z2I

Combine like terms: z2I + -1z2I = 0
3i + 0 = 2z + -1z2I
3i = 2z + -1z2I

Divide each side by '3'.
i = 0.6666666667z + -0.3333333333z2I

Simplifying
i = 0.6666666667z + -0.3333333333z2I

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