iz+1-i=1

Solution for iz+1-i=1 equation:

Simplifying
iz + 1 + -1i = 1

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

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

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

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

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

Solving
-1i + iz = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), 'i'.
i(-1 + z) = 0

Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(-1 + z)' equal to zero and attempt to solve:

Simplifying
-1 + z = 0

Solving
-1 + z = 0

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

Add '1' to each side of the equation.
-1 + 1 + z = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}