3-j=4+ij

Solution for 3-j=4+ij equation:

Simplifying
3 + -1j = 4 + ij

Solving
3 + -1j = 4 + ij

Solving for variable 'j'.

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

Add '-1ij' to each side of the equation.
3 + -1ij + -1j = 4 + ij + -1ij

Combine like terms: ij + -1ij = 0
3 + -1ij + -1j = 4 + 0
3 + -1ij + -1j = 4

Add '-3' to each side of the equation.
3 + -1ij + -3 + -1j = 4 + -3

Reorder the terms:
3 + -3 + -1ij + -1j = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1ij + -1j = 4 + -3
-1ij + -1j = 4 + -3

Combine like terms: 4 + -3 = 1
-1ij + -1j = 1

Reorder the terms:
-1 + -1ij + -1j = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1ij + -1j = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + ij + j)' equal to zero and attempt to solve:

Simplifying
1 + ij + j = 0

Solving
1 + ij + j = 0

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

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

Reorder the terms:
1 + -1 + ij + j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + ij + j = 0 + -1
ij + j = 0 + -1

Combine like terms: 0 + -1 = -1
ij + j = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.