2x+4yi=-12-36i

Solution for 2x+4yi=-12-36i equation:

Simplifying
2x + 4yi = -12 + -36i

Reorder the terms:
4iy + 2x = -12 + -36i

Solving
4iy + 2x = -12 + -36i

Solving for variable 'i'.

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

Add '36i' to each side of the equation.
4iy + 36i + 2x = -12 + -36i + 36i

Reorder the terms:
36i + 4iy + 2x = -12 + -36i + 36i

Combine like terms: -36i + 36i = 0
36i + 4iy + 2x = -12 + 0
36i + 4iy + 2x = -12

Add '-2x' to each side of the equation.
36i + 4iy + 2x + -2x = -12 + -2x

Combine like terms: 2x + -2x = 0
36i + 4iy + 0 = -12 + -2x
36i + 4iy = -12 + -2x

Reorder the terms:
12 + 36i + 4iy + 2x = -12 + -2x + 12 + 2x

Reorder the terms:
12 + 36i + 4iy + 2x = -12 + 12 + -2x + 2x

Combine like terms: -12 + 12 = 0
12 + 36i + 4iy + 2x = 0 + -2x + 2x
12 + 36i + 4iy + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 36i + 4iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 18i + 2iy + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 18i + 2iy + x)' equal to zero and attempt to solve:

Simplifying
6 + 18i + 2iy + x = 0

Solving
6 + 18i + 2iy + x = 0

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

Add '-6' to each side of the equation.
6 + 18i + 2iy + -6 + x = 0 + -6

Reorder the terms:
6 + -6 + 18i + 2iy + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18i + 2iy + x = 0 + -6
18i + 2iy + x = 0 + -6

Combine like terms: 0 + -6 = -6
18i + 2iy + x = -6

Add '-1x' to each side of the equation.
18i + 2iy + x + -1x = -6 + -1x

Combine like terms: x + -1x = 0
18i + 2iy + 0 = -6 + -1x
18i + 2iy = -6 + -1x

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.