z+zi=0

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Solution for z+zi=0 equation: 


Simplifying
z + zi = 0

Reorder the terms:
iz + z = 0

Solving
iz + z = 0

Solving for variable 'i'.

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

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

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

Divide each side by 'z'.
i = -1

Simplifying
i = -1

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