iz^2+(2+3i)z+(3+i)=0

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

Simplifying
iz2 + (2 + 3i) * z + (3 + i) = 0

Reorder the terms for easier multiplication:
iz2 + z(2 + 3i) + (3 + i) = 0
iz2 + (2 * z + 3i * z) + (3 + i) = 0

Reorder the terms:
iz2 + (3iz + 2z) + (3 + i) = 0
iz2 + (3iz + 2z) + (3 + i) = 0

Remove parenthesis around (3 + i)
iz2 + 3iz + 2z + 3 + i = 0

Reorder the terms:
3 + i + 3iz + iz2 + 2z = 0

Solving
3 + i + 3iz + iz2 + 2z = 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 + i + 3iz + iz2 + -3 + 2z = 0 + -3

Reorder the terms:
3 + -3 + i + 3iz + iz2 + 2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + i + 3iz + iz2 + 2z = 0 + -3
i + 3iz + iz2 + 2z = 0 + -3

Combine like terms: 0 + -3 = -3
i + 3iz + iz2 + 2z = -3

Add '-2z' to each side of the equation.
i + 3iz + iz2 + 2z + -2z = -3 + -2z

Combine like terms: 2z + -2z = 0
i + 3iz + iz2 + 0 = -3 + -2z
i + 3iz + iz2 = -3 + -2z

Reorder the terms:
3 + i + 3iz + iz2 + 2z = -3 + -2z + 3 + 2z

Reorder the terms:
3 + i + 3iz + iz2 + 2z = -3 + 3 + -2z + 2z

Combine like terms: -3 + 3 = 0
3 + i + 3iz + iz2 + 2z = 0 + -2z + 2z
3 + i + 3iz + iz2 + 2z = -2z + 2z

Combine like terms: -2z + 2z = 0
3 + i + 3iz + iz2 + 2z = 0

The solution to this equation could not be determined.