(x+y)i+3=x+12i

Solution for (x+y)i+3=x+12i equation:

Simplifying
(x + y) * i + 3 = x + 12i

Reorder the terms for easier multiplication:
i(x + y) + 3 = x + 12i
(x * i + y * i) + 3 = x + 12i
(ix + iy) + 3 = x + 12i

Reorder the terms:
3 + ix + iy = x + 12i

Reorder the terms:
3 + ix + iy = 12i + x

Solving
3 + ix + iy = 12i + x

Solving for variable 'i'.

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

Add '-12i' to each side of the equation.
3 + ix + -12i + iy = 12i + -12i + x

Reorder the terms:
3 + -12i + ix + iy = 12i + -12i + x

Combine like terms: 12i + -12i = 0
3 + -12i + ix + iy = 0 + x
3 + -12i + ix + iy = x

Add '-3' to each side of the equation.
3 + -12i + ix + -3 + iy = -3 + x

Reorder the terms:
3 + -3 + -12i + ix + iy = -3 + x

Combine like terms: 3 + -3 = 0
0 + -12i + ix + iy = -3 + x
-12i + ix + iy = -3 + x

Reorder the terms:
3 + -12i + ix + iy + -1x = -3 + x + 3 + -1x

Reorder the terms:
3 + -12i + ix + iy + -1x = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
3 + -12i + ix + iy + -1x = 0 + x + -1x
3 + -12i + ix + iy + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + -12i + ix + iy + -1x = 0

The solution to this equation could not be determined.