zi+z+1+3i=0

Solution for zi+z+1+3i=0 equation:

Simplifying
zi + z + 1 + 3i = 0

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

Solving
1 + 3i + iz + z = 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 + iz + -1 + z = 0 + -1

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.