z^2+3iz+4=0

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Solution for z^2+3iz+4=0 equation:


Simplifying
z2 + 3iz + 4 = 0

Reorder the terms:
4 + 3iz + z2 = 0

Solving
4 + 3iz + 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 + 3iz + -4 + z2 = 0 + -4

Reorder the terms:
4 + -4 + 3iz + z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3iz + z2 = 0 + -4
3iz + z2 = 0 + -4

Combine like terms: 0 + -4 = -4
3iz + z2 = -4

Add '-1z2' to each side of the equation.
3iz + z2 + -1z2 = -4 + -1z2

Combine like terms: z2 + -1z2 = 0
3iz + 0 = -4 + -1z2
3iz = -4 + -1z2

Divide each side by '3z'.
i = -1.333333333z-1 + -0.3333333333z

Simplifying
i = -1.333333333z-1 + -0.3333333333z

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