x-4y+19i=-5+5xi+2yi

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Solution for x-4y+19i=-5+5xi+2yi equation:


Simplifying
x + -4y + 19i = -5 + 5xi + 2yi

Reorder the terms:
19i + x + -4y = -5 + 5xi + 2yi

Solving
19i + x + -4y = -5 + 5ix + 2iy

Solving for variable 'i'.

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

Add '-5ix' to each side of the equation.
19i + x + -5ix + -4y = -5 + 5ix + -5ix + 2iy

Reorder the terms:
19i + -5ix + x + -4y = -5 + 5ix + -5ix + 2iy

Combine like terms: 5ix + -5ix = 0
19i + -5ix + x + -4y = -5 + 0 + 2iy
19i + -5ix + x + -4y = -5 + 2iy

Add '-2iy' to each side of the equation.
19i + -5ix + x + -2iy + -4y = -5 + 2iy + -2iy

Reorder the terms:
19i + -5ix + -2iy + x + -4y = -5 + 2iy + -2iy

Combine like terms: 2iy + -2iy = 0
19i + -5ix + -2iy + x + -4y = -5 + 0
19i + -5ix + -2iy + x + -4y = -5

Add '-1x' to each side of the equation.
19i + -5ix + -2iy + x + -1x + -4y = -5 + -1x

Combine like terms: x + -1x = 0
19i + -5ix + -2iy + 0 + -4y = -5 + -1x
19i + -5ix + -2iy + -4y = -5 + -1x

Add '4y' to each side of the equation.
19i + -5ix + -2iy + -4y + 4y = -5 + -1x + 4y

Combine like terms: -4y + 4y = 0
19i + -5ix + -2iy + 0 = -5 + -1x + 4y
19i + -5ix + -2iy = -5 + -1x + 4y

Reorder the terms:
5 + 19i + -5ix + -2iy + x + -4y = -5 + -1x + 4y + 5 + x + -4y

Reorder the terms:
5 + 19i + -5ix + -2iy + x + -4y = -5 + 5 + -1x + x + 4y + -4y

Combine like terms: -5 + 5 = 0
5 + 19i + -5ix + -2iy + x + -4y = 0 + -1x + x + 4y + -4y
5 + 19i + -5ix + -2iy + x + -4y = -1x + x + 4y + -4y

Combine like terms: -1x + x = 0
5 + 19i + -5ix + -2iy + x + -4y = 0 + 4y + -4y
5 + 19i + -5ix + -2iy + x + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
5 + 19i + -5ix + -2iy + x + -4y = 0

The solution to this equation could not be determined.

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