z^2+2iz-4=0

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Solution for z^2+2iz-4=0 equation:


Simplifying
z2 + 2iz + -4 = 0

Reorder the terms:
-4 + 2iz + z2 = 0

Solving
-4 + 2iz + z2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 2iz + 4 + z2 = 0 + 4

Reorder the terms:
-4 + 4 + 2iz + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2iz + z2 = 0 + 4
2iz + z2 = 0 + 4

Combine like terms: 0 + 4 = 4
2iz + z2 = 4

Add '-1z2' to each side of the equation.
2iz + z2 + -1z2 = 4 + -1z2

Combine like terms: z2 + -1z2 = 0
2iz + 0 = 4 + -1z2
2iz = 4 + -1z2

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

Simplifying
i = 2z-1 + -0.5z

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