z^2-2iz-3=0

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Solution for z^2-2iz-3=0 equation:


Simplifying
z2 + -2iz + -3 = 0

Reorder the terms:
-3 + -2iz + z2 = 0

Solving
-3 + -2iz + z2 = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + -2iz + 3 + z2 = 0 + 3

Reorder the terms:
-3 + 3 + -2iz + z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2iz + z2 = 0 + 3
-2iz + z2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2iz + z2 = 3

Add '-1z2' to each side of the equation.
-2iz + z2 + -1z2 = 3 + -1z2

Combine like terms: z2 + -1z2 = 0
-2iz + 0 = 3 + -1z2
-2iz = 3 + -1z2

Divide each side by '-2z'.
i = -1.5z-1 + 0.5z

Simplifying
i = -1.5z-1 + 0.5z

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