1-16i=3-(2m)i

Solution for 1-16i=3-(2m)i equation:

Simplifying
1 + -16i = 3 + -1(2m) * i

Remove parenthesis around (2m)
1 + -16i = 3 + -1 * 2m * i

Multiply -1 * 2
1 + -16i = 3 + -2m * i

Multiply m * i
1 + -16i = 3 + -2im

Solving
1 + -16i = 3 + -2im

Solving for variable 'i'.

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

Add '2im' to each side of the equation.
1 + -16i + 2im = 3 + -2im + 2im

Combine like terms: -2im + 2im = 0
1 + -16i + 2im = 3 + 0
1 + -16i + 2im = 3

Add '-1' to each side of the equation.
1 + -16i + -1 + 2im = 3 + -1

Reorder the terms:
1 + -1 + -16i + 2im = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -16i + 2im = 3 + -1
-16i + 2im = 3 + -1

Combine like terms: 3 + -1 = 2
-16i + 2im = 2

Reorder the terms:
-2 + -16i + 2im = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -16i + 2im = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -8i + im) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -8i + im)' equal to zero and attempt to solve:

Simplifying
-1 + -8i + im = 0

Solving
-1 + -8i + im = 0

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

Add '1' to each side of the equation.
-1 + -8i + 1 + im = 0 + 1

Reorder the terms:
-1 + 1 + -8i + im = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8i + im = 0 + 1
-8i + im = 0 + 1

Combine like terms: 0 + 1 = 1
-8i + im = 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.