(x+yi)(3-i)=-i

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Solution for (x+yi)(3-i)=-i equation: 


Simplifying
(x + yi)(3 + -1i) = -1i

Reorder the terms:
(iy + x)(3 + -1i) = -1i

Multiply (iy + x) * (3 + -1i)
(iy(3 + -1i) + x(3 + -1i)) = -1i
((3 * iy + -1i * iy) + x(3 + -1i)) = -1i
((3iy + -1i2y) + x(3 + -1i)) = -1i
(3iy + -1i2y + (3 * x + -1i * x)) = -1i

Reorder the terms:
(3iy + -1i2y + (-1ix + 3x)) = -1i
(3iy + -1i2y + (-1ix + 3x)) = -1i

Reorder the terms:
(-1ix + 3iy + -1i2y + 3x) = -1i
(-1ix + 3iy + -1i2y + 3x) = -1i

Solving
-1ix + 3iy + -1i2y + 3x = -1i

Solving for variable 'i'.

Reorder the terms:
i + -1ix + 3iy + -1i2y + 3x = -1i + i

Combine like terms: -1i + i = 0
i + -1ix + 3iy + -1i2y + 3x = 0

The solution to this equation could not be determined.

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