2x-3y+i(x-2y)=4-5i

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Solution for 2x-3y+i(x-2y)=4-5i equation: 


Simplifying
2x + -3y + i(x + -2y) = 4 + -5i
2x + -3y + (x * i + -2y * i) = 4 + -5i
2x + -3y + (ix + -2iy) = 4 + -5i

Reorder the terms:
ix + -2iy + 2x + -3y = 4 + -5i

Solving
ix + -2iy + 2x + -3y = 4 + -5i

Solving for variable 'i'.

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

Add '5i' to each side of the equation.
ix + -2iy + 2x + 5i + -3y = 4 + -5i + 5i

Reorder the terms:
5i + ix + -2iy + 2x + -3y = 4 + -5i + 5i

Combine like terms: -5i + 5i = 0
5i + ix + -2iy + 2x + -3y = 4 + 0
5i + ix + -2iy + 2x + -3y = 4

Add '-2x' to each side of the equation.
5i + ix + -2iy + 2x + -2x + -3y = 4 + -2x

Combine like terms: 2x + -2x = 0
5i + ix + -2iy + 0 + -3y = 4 + -2x
5i + ix + -2iy + -3y = 4 + -2x

Add '3y' to each side of the equation.
5i + ix + -2iy + -3y + 3y = 4 + -2x + 3y

Combine like terms: -3y + 3y = 0
5i + ix + -2iy + 0 = 4 + -2x + 3y
5i + ix + -2iy = 4 + -2x + 3y

Reorder the terms:
-4 + 5i + ix + -2iy + 2x + -3y = 4 + -2x + 3y + -4 + 2x + -3y

Reorder the terms:
-4 + 5i + ix + -2iy + 2x + -3y = 4 + -4 + -2x + 2x + 3y + -3y

Combine like terms: 4 + -4 = 0
-4 + 5i + ix + -2iy + 2x + -3y = 0 + -2x + 2x + 3y + -3y
-4 + 5i + ix + -2iy + 2x + -3y = -2x + 2x + 3y + -3y

Combine like terms: -2x + 2x = 0
-4 + 5i + ix + -2iy + 2x + -3y = 0 + 3y + -3y
-4 + 5i + ix + -2iy + 2x + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 5i + ix + -2iy + 2x + -3y = 0

The solution to this equation could not be determined.

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