z+iz+1=0

Solution for z+iz+1=0 equation:

Simplifying
z + iz + 1 = 0

Reorder the terms:
1 + iz + z = 0

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

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

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

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

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

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

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

Simplifying
i = -1z-1 + -1

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