z^2+4iz+6=0

Solution for z^2+4iz+6=0 equation:

Simplifying
z2 + 4iz + 6 = 0

Reorder the terms:
6 + 4iz + z2 = 0

Solving
6 + 4iz + 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 + 4iz + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + 4iz + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4iz + z2 = 0 + -6
4iz + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
4iz + z2 = -6

Add '-1z2' to each side of the equation.
4iz + z2 + -1z2 = -6 + -1z2

Combine like terms: z2 + -1z2 = 0
4iz + 0 = -6 + -1z2
4iz = -6 + -1z2

Divide each side by '4z'.
i = -1.5z-1 + -0.25z

Simplifying
i = -1.5z-1 + -0.25z