z^2+2iz-9=0

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Solution for z^2+2iz-9=0 equation:


Simplifying
z2 + 2iz + -9 = 0

Reorder the terms:
-9 + 2iz + z2 = 0

Solving
-9 + 2iz + z2 = 0

Solving for variable 'i'.

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

Add '9' to each side of the equation.
-9 + 2iz + 9 + z2 = 0 + 9

Reorder the terms:
-9 + 9 + 2iz + z2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2iz + z2 = 0 + 9
2iz + z2 = 0 + 9

Combine like terms: 0 + 9 = 9
2iz + z2 = 9

Add '-1z2' to each side of the equation.
2iz + z2 + -1z2 = 9 + -1z2

Combine like terms: z2 + -1z2 = 0
2iz + 0 = 9 + -1z2
2iz = 9 + -1z2

Divide each side by '2z'.
i = 4.5z-1 + -0.5z

Simplifying
i = 4.5z-1 + -0.5z

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