z^2+6z-3+i(4z+6)=0

Solution for z^2+6z-3+i(4z+6)=0 equation:

Simplifying
z2 + 6z + -3 + i(4z + 6) = 0

Reorder the terms:
z2 + 6z + -3 + i(6 + 4z) = 0
z2 + 6z + -3 + (6 * i + 4z * i) = 0
z2 + 6z + -3 + (6i + 4iz) = 0

Reorder the terms:
-3 + 6i + 4iz + 6z + z2 = 0

Solving
-3 + 6i + 4iz + 6z + 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 + 6i + 4iz + 6z + 3 + z2 = 0 + 3

Reorder the terms:
-3 + 3 + 6i + 4iz + 6z + z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6i + 4iz + 6z + z2 = 0 + 3
6i + 4iz + 6z + z2 = 0 + 3

Combine like terms: 0 + 3 = 3
6i + 4iz + 6z + z2 = 3

Add '-6z' to each side of the equation.
6i + 4iz + 6z + -6z + z2 = 3 + -6z

Combine like terms: 6z + -6z = 0
6i + 4iz + 0 + z2 = 3 + -6z
6i + 4iz + z2 = 3 + -6z

Add '-1z2' to each side of the equation.
6i + 4iz + z2 + -1z2 = 3 + -6z + -1z2

Combine like terms: z2 + -1z2 = 0
6i + 4iz + 0 = 3 + -6z + -1z2
6i + 4iz = 3 + -6z + -1z2

Reorder the terms:
-3 + 6i + 4iz + 6z + z2 = 3 + -6z + -1z2 + -3 + 6z + z2

Reorder the terms:
-3 + 6i + 4iz + 6z + z2 = 3 + -3 + -6z + 6z + -1z2 + z2

Combine like terms: 3 + -3 = 0
-3 + 6i + 4iz + 6z + z2 = 0 + -6z + 6z + -1z2 + z2
-3 + 6i + 4iz + 6z + z2 = -6z + 6z + -1z2 + z2

Combine like terms: -6z + 6z = 0
-3 + 6i + 4iz + 6z + z2 = 0 + -1z2 + z2
-3 + 6i + 4iz + 6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-3 + 6i + 4iz + 6z + z2 = 0

The solution to this equation could not be determined.