3x+3iy-2ix-2y=4+i

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Solution for 3x+3iy-2ix-2y=4+i equation:


Simplifying
3x + 3iy + -2ix + -2y = 4 + i

Reorder the terms:
-2ix + 3iy + 3x + -2y = 4 + i

Solving
-2ix + 3iy + 3x + -2y = 4 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
-2ix + 3iy + 3x + -1i + -2y = 4 + i + -1i

Reorder the terms:
-1i + -2ix + 3iy + 3x + -2y = 4 + i + -1i

Combine like terms: i + -1i = 0
-1i + -2ix + 3iy + 3x + -2y = 4 + 0
-1i + -2ix + 3iy + 3x + -2y = 4

Add '-3x' to each side of the equation.
-1i + -2ix + 3iy + 3x + -3x + -2y = 4 + -3x

Combine like terms: 3x + -3x = 0
-1i + -2ix + 3iy + 0 + -2y = 4 + -3x
-1i + -2ix + 3iy + -2y = 4 + -3x

Add '2y' to each side of the equation.
-1i + -2ix + 3iy + -2y + 2y = 4 + -3x + 2y

Combine like terms: -2y + 2y = 0
-1i + -2ix + 3iy + 0 = 4 + -3x + 2y
-1i + -2ix + 3iy = 4 + -3x + 2y

Reorder the terms:
-4 + -1i + -2ix + 3iy + 3x + -2y = 4 + -3x + 2y + -4 + 3x + -2y

Reorder the terms:
-4 + -1i + -2ix + 3iy + 3x + -2y = 4 + -4 + -3x + 3x + 2y + -2y

Combine like terms: 4 + -4 = 0
-4 + -1i + -2ix + 3iy + 3x + -2y = 0 + -3x + 3x + 2y + -2y
-4 + -1i + -2ix + 3iy + 3x + -2y = -3x + 3x + 2y + -2y

Combine like terms: -3x + 3x = 0
-4 + -1i + -2ix + 3iy + 3x + -2y = 0 + 2y + -2y
-4 + -1i + -2ix + 3iy + 3x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + -1i + -2ix + 3iy + 3x + -2y = 0

The solution to this equation could not be determined.

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