(x+yi)(3-2i)=4+i

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


Simplifying
(x + yi)(3 + -2i) = 4 + i

Reorder the terms:
(iy + x)(3 + -2i) = 4 + i

Multiply (iy + x) * (3 + -2i)
(iy(3 + -2i) + x(3 + -2i)) = 4 + i
((3 * iy + -2i * iy) + x(3 + -2i)) = 4 + i
((3iy + -2i2y) + x(3 + -2i)) = 4 + i
(3iy + -2i2y + (3 * x + -2i * x)) = 4 + i

Reorder the terms:
(3iy + -2i2y + (-2ix + 3x)) = 4 + i
(3iy + -2i2y + (-2ix + 3x)) = 4 + i

Reorder the terms:
(-2ix + 3iy + -2i2y + 3x) = 4 + i
(-2ix + 3iy + -2i2y + 3x) = 4 + i

Solving
-2ix + 3iy + -2i2y + 3x = 4 + i

Solving for variable 'i'.

Reorder the terms:
-4 + -1i + -2ix + 3iy + -2i2y + 3x = 4 + i + -4 + -1i

Reorder the terms:
-4 + -1i + -2ix + 3iy + -2i2y + 3x = 4 + -4 + i + -1i

Combine like terms: 4 + -4 = 0
-4 + -1i + -2ix + 3iy + -2i2y + 3x = 0 + i + -1i
-4 + -1i + -2ix + 3iy + -2i2y + 3x = i + -1i

Combine like terms: i + -1i = 0
-4 + -1i + -2ix + 3iy + -2i2y + 3x = 0

The solution to this equation could not be determined.

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