-x+4iy-2x+2=(x-y-3)+(x+y-14)i

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Solution for -x+4iy-2x+2=(x-y-3)+(x+y-14)i equation:


Simplifying
-1x + 4iy + -2x + 2 = (x + -1y + -3) + (x + y + -14) * i

Reorder the terms:
2 + 4iy + -1x + -2x = (x + -1y + -3) + (x + y + -14) * i

Combine like terms: -1x + -2x = -3x
2 + 4iy + -3x = (x + -1y + -3) + (x + y + -14) * i

Reorder the terms:
2 + 4iy + -3x = (-3 + x + -1y) + (x + y + -14) * i

Remove parenthesis around (-3 + x + -1y)
2 + 4iy + -3x = -3 + x + -1y + (x + y + -14) * i

Reorder the terms:
2 + 4iy + -3x = -3 + x + -1y + (-14 + x + y) * i

Reorder the terms for easier multiplication:
2 + 4iy + -3x = -3 + x + -1y + i(-14 + x + y)
2 + 4iy + -3x = -3 + x + -1y + (-14 * i + x * i + y * i)
2 + 4iy + -3x = -3 + x + -1y + (-14i + ix + iy)

Reorder the terms:
2 + 4iy + -3x = -3 + -14i + ix + iy + x + -1y

Solving
2 + 4iy + -3x = -3 + -14i + ix + iy + x + -1y

Solving for variable 'i'.

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

Add '14i' to each side of the equation.
2 + 4iy + 14i + -3x = -3 + -14i + ix + iy + x + 14i + -1y

Reorder the terms:
2 + 14i + 4iy + -3x = -3 + -14i + ix + iy + x + 14i + -1y

Reorder the terms:
2 + 14i + 4iy + -3x = -3 + -14i + 14i + ix + iy + x + -1y

Combine like terms: -14i + 14i = 0
2 + 14i + 4iy + -3x = -3 + 0 + ix + iy + x + -1y
2 + 14i + 4iy + -3x = -3 + ix + iy + x + -1y

Add '-1ix' to each side of the equation.
2 + 14i + 4iy + -1ix + -3x = -3 + ix + iy + x + -1ix + -1y

Reorder the terms:
2 + 14i + -1ix + 4iy + -3x = -3 + ix + iy + x + -1ix + -1y

Reorder the terms:
2 + 14i + -1ix + 4iy + -3x = -3 + ix + -1ix + iy + x + -1y

Combine like terms: ix + -1ix = 0
2 + 14i + -1ix + 4iy + -3x = -3 + 0 + iy + x + -1y
2 + 14i + -1ix + 4iy + -3x = -3 + iy + x + -1y

Add '-1iy' to each side of the equation.
2 + 14i + -1ix + 4iy + -1iy + -3x = -3 + iy + x + -1iy + -1y

Combine like terms: 4iy + -1iy = 3iy
2 + 14i + -1ix + 3iy + -3x = -3 + iy + x + -1iy + -1y

Reorder the terms:
2 + 14i + -1ix + 3iy + -3x = -3 + iy + -1iy + x + -1y

Combine like terms: iy + -1iy = 0
2 + 14i + -1ix + 3iy + -3x = -3 + 0 + x + -1y
2 + 14i + -1ix + 3iy + -3x = -3 + x + -1y

Add '-2' to each side of the equation.
2 + 14i + -1ix + 3iy + -2 + -3x = -3 + x + -2 + -1y

Reorder the terms:
2 + -2 + 14i + -1ix + 3iy + -3x = -3 + x + -2 + -1y

Combine like terms: 2 + -2 = 0
0 + 14i + -1ix + 3iy + -3x = -3 + x + -2 + -1y
14i + -1ix + 3iy + -3x = -3 + x + -2 + -1y

Reorder the terms:
14i + -1ix + 3iy + -3x = -3 + -2 + x + -1y

Combine like terms: -3 + -2 = -5
14i + -1ix + 3iy + -3x = -5 + x + -1y

Add '3x' to each side of the equation.
14i + -1ix + 3iy + -3x + 3x = -5 + x + 3x + -1y

Combine like terms: -3x + 3x = 0
14i + -1ix + 3iy + 0 = -5 + x + 3x + -1y
14i + -1ix + 3iy = -5 + x + 3x + -1y

Combine like terms: x + 3x = 4x
14i + -1ix + 3iy = -5 + 4x + -1y

Reorder the terms:
5 + 14i + -1ix + 3iy + -4x + y = -5 + 4x + -1y + 5 + -4x + y

Reorder the terms:
5 + 14i + -1ix + 3iy + -4x + y = -5 + 5 + 4x + -4x + -1y + y

Combine like terms: -5 + 5 = 0
5 + 14i + -1ix + 3iy + -4x + y = 0 + 4x + -4x + -1y + y
5 + 14i + -1ix + 3iy + -4x + y = 4x + -4x + -1y + y

Combine like terms: 4x + -4x = 0
5 + 14i + -1ix + 3iy + -4x + y = 0 + -1y + y
5 + 14i + -1ix + 3iy + -4x + y = -1y + y

Combine like terms: -1y + y = 0
5 + 14i + -1ix + 3iy + -4x + y = 0

The solution to this equation could not be determined.

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