(3+2i)(x+yi)=3-11i

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Solution for (3+2i)(x+yi)=3-11i equation: 


Simplifying
(3 + 2i)(x + yi) = 3 + -11i

Reorder the terms:
(3 + 2i)(iy + x) = 3 + -11i

Multiply (3 + 2i) * (iy + x)
(3(iy + x) + 2i * (iy + x)) = 3 + -11i
((iy * 3 + x * 3) + 2i * (iy + x)) = 3 + -11i
((3iy + 3x) + 2i * (iy + x)) = 3 + -11i
(3iy + 3x + (iy * 2i + x * 2i)) = 3 + -11i

Reorder the terms:
(3iy + 3x + (2ix + 2i2y)) = 3 + -11i
(3iy + 3x + (2ix + 2i2y)) = 3 + -11i

Reorder the terms:
(2ix + 3iy + 2i2y + 3x) = 3 + -11i
(2ix + 3iy + 2i2y + 3x) = 3 + -11i

Solving
2ix + 3iy + 2i2y + 3x = 3 + -11i

Solving for variable 'i'.

Reorder the terms:
-3 + 11i + 2ix + 3iy + 2i2y + 3x = 3 + -11i + -3 + 11i

Reorder the terms:
-3 + 11i + 2ix + 3iy + 2i2y + 3x = 3 + -3 + -11i + 11i

Combine like terms: 3 + -3 = 0
-3 + 11i + 2ix + 3iy + 2i2y + 3x = 0 + -11i + 11i
-3 + 11i + 2ix + 3iy + 2i2y + 3x = -11i + 11i

Combine like terms: -11i + 11i = 0
-3 + 11i + 2ix + 3iy + 2i2y + 3x = 0

The solution to this equation could not be determined.

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