z^2+2iz+6=0

Solution for z^2+2iz+6=0 equation:

Simplifying
z2 + 2iz + 6 = 0

Reorder the terms:
6 + 2iz + z2 = 0

Solving
6 + 2iz + z2 = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + 2iz + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + 2iz + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2iz + z2 = 0 + -6
2iz + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
2iz + z2 = -6

Add '-1z2' to each side of the equation.
2iz + z2 + -1z2 = -6 + -1z2

Combine like terms: z2 + -1z2 = 0
2iz + 0 = -6 + -1z2
2iz = -6 + -1z2

Divide each side by '2z'.
i = -3z-1 + -0.5z

Simplifying
i = -3z-1 + -0.5z