z^2-3iz-2=0

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


Simplifying
z2 + -3iz + -2 = 0

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

Solving
-2 + -3iz + z2 = 0

Solving for variable 'i'.

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

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

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

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

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

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

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

Divide each side by '-3z'.
i = -0.6666666667z-1 + 0.3333333333z

Simplifying
i = -0.6666666667z-1 + 0.3333333333z

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