z^2+3zi=0

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Solution for z^2+3zi=0 equation: 


Simplifying
z2 + 3zi = 0

Reorder the terms:
3iz + z2 = 0

Solving
3iz + z2 = 0

Solving for variable 'i'.

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

Add '-1z2' to each side of the equation.
3iz + z2 + -1z2 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
3iz + 0 = 0 + -1z2
3iz = 0 + -1z2
Remove the zero:
3iz = -1z2

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

Simplifying
i = -0.3333333333z

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