(6-x)+(4y-10)i=12-6i

Solution for (6-x)+(4y-10)i=12-6i equation:

Simplifying
(6 + -1x) + (4y + -10) * i = 12 + -6i

Remove parenthesis around (6 + -1x)
6 + -1x + (4y + -10) * i = 12 + -6i

Reorder the terms:
6 + -1x + (-10 + 4y) * i = 12 + -6i

Reorder the terms for easier multiplication:
6 + -1x + i(-10 + 4y) = 12 + -6i
6 + -1x + (-10 * i + 4y * i) = 12 + -6i
6 + -1x + (-10i + 4iy) = 12 + -6i

Reorder the terms:
6 + -10i + 4iy + -1x = 12 + -6i

Solving
6 + -10i + 4iy + -1x = 12 + -6i

Solving for variable 'i'.

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

Add '6i' to each side of the equation.
6 + -10i + 4iy + 6i + -1x = 12 + -6i + 6i

Reorder the terms:
6 + -10i + 6i + 4iy + -1x = 12 + -6i + 6i

Combine like terms: -10i + 6i = -4i
6 + -4i + 4iy + -1x = 12 + -6i + 6i

Combine like terms: -6i + 6i = 0
6 + -4i + 4iy + -1x = 12 + 0
6 + -4i + 4iy + -1x = 12

Add '-6' to each side of the equation.
6 + -4i + 4iy + -6 + -1x = 12 + -6

Reorder the terms:
6 + -6 + -4i + 4iy + -1x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -4i + 4iy + -1x = 12 + -6
-4i + 4iy + -1x = 12 + -6

Combine like terms: 12 + -6 = 6
-4i + 4iy + -1x = 6

Add 'x' to each side of the equation.
-4i + 4iy + -1x + x = 6 + x

Combine like terms: -1x + x = 0
-4i + 4iy + 0 = 6 + x
-4i + 4iy = 6 + x

Reorder the terms:
-6 + -4i + 4iy + -1x = 6 + x + -6 + -1x

Reorder the terms:
-6 + -4i + 4iy + -1x = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
-6 + -4i + 4iy + -1x = 0 + x + -1x
-6 + -4i + 4iy + -1x = x + -1x

Combine like terms: x + -1x = 0
-6 + -4i + 4iy + -1x = 0

The solution to this equation could not be determined.