(3-2i)(x+yi)=4+5i

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Solution for (3-2i)(x+yi)=4+5i equation:


Simplifying
(3 + -2i)(x + yi) = 4 + 5i

Reorder the terms:
(3 + -2i)(iy + x) = 4 + 5i

Multiply (3 + -2i) * (iy + x)
(3(iy + x) + -2i * (iy + x)) = 4 + 5i
((iy * 3 + x * 3) + -2i * (iy + x)) = 4 + 5i
((3iy + 3x) + -2i * (iy + x)) = 4 + 5i
(3iy + 3x + (iy * -2i + x * -2i)) = 4 + 5i

Reorder the terms:
(3iy + 3x + (-2ix + -2i2y)) = 4 + 5i
(3iy + 3x + (-2ix + -2i2y)) = 4 + 5i

Reorder the terms:
(-2ix + 3iy + -2i2y + 3x) = 4 + 5i
(-2ix + 3iy + -2i2y + 3x) = 4 + 5i

Solving
-2ix + 3iy + -2i2y + 3x = 4 + 5i

Solving for variable 'i'.

Reorder the terms:
-4 + -5i + -2ix + 3iy + -2i2y + 3x = 4 + 5i + -4 + -5i

Reorder the terms:
-4 + -5i + -2ix + 3iy + -2i2y + 3x = 4 + -4 + 5i + -5i

Combine like terms: 4 + -4 = 0
-4 + -5i + -2ix + 3iy + -2i2y + 3x = 0 + 5i + -5i
-4 + -5i + -2ix + 3iy + -2i2y + 3x = 5i + -5i

Combine like terms: 5i + -5i = 0
-4 + -5i + -2ix + 3iy + -2i2y + 3x = 0

The solution to this equation could not be determined.

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