x^2+(2+3i)z+1+3i=0

Solution for x^2+(2+3i)z+1+3i=0 equation:

Simplifying
x2 + (2 + 3i) * z + 1 + 3i = 0

Reorder the terms for easier multiplication:
x2 + z(2 + 3i) + 1 + 3i = 0
x2 + (2 * z + 3i * z) + 1 + 3i = 0

Reorder the terms:
x2 + (3iz + 2z) + 1 + 3i = 0
x2 + (3iz + 2z) + 1 + 3i = 0

Reorder the terms:
1 + 3i + 3iz + x2 + 2z = 0

Solving
1 + 3i + 3iz + x2 + 2z = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + 3i + 3iz + x2 + -1 + 2z = 0 + -1

Reorder the terms:
1 + -1 + 3i + 3iz + x2 + 2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3i + 3iz + x2 + 2z = 0 + -1
3i + 3iz + x2 + 2z = 0 + -1

Combine like terms: 0 + -1 = -1
3i + 3iz + x2 + 2z = -1

Add '-1x2' to each side of the equation.
3i + 3iz + x2 + -1x2 + 2z = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
3i + 3iz + 0 + 2z = -1 + -1x2
3i + 3iz + 2z = -1 + -1x2

Add '-2z' to each side of the equation.
3i + 3iz + 2z + -2z = -1 + -1x2 + -2z

Combine like terms: 2z + -2z = 0
3i + 3iz + 0 = -1 + -1x2 + -2z
3i + 3iz = -1 + -1x2 + -2z

Reorder the terms:
1 + 3i + 3iz + x2 + 2z = -1 + -1x2 + -2z + 1 + x2 + 2z

Reorder the terms:
1 + 3i + 3iz + x2 + 2z = -1 + 1 + -1x2 + x2 + -2z + 2z

Combine like terms: -1 + 1 = 0
1 + 3i + 3iz + x2 + 2z = 0 + -1x2 + x2 + -2z + 2z
1 + 3i + 3iz + x2 + 2z = -1x2 + x2 + -2z + 2z

Combine like terms: -1x2 + x2 = 0
1 + 3i + 3iz + x2 + 2z = 0 + -2z + 2z
1 + 3i + 3iz + x2 + 2z = -2z + 2z

Combine like terms: -2z + 2z = 0
1 + 3i + 3iz + x2 + 2z = 0

The solution to this equation could not be determined.