z^2+2iz+3=0

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

Simplifying
z2 + 2iz + 3 = 0

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

Solving
3 + 2iz + z2 = 0

Solving for variable 'i'.

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

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

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

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

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

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

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

Divide each side by '2z'.
i = -1.5z-1 + -0.5z

Simplifying
i = -1.5z-1 + -0.5z