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

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


Simplifying
(2 + -3i)(x + yi) = 5 + -1i

Reorder the terms:
(2 + -3i)(iy + x) = 5 + -1i

Multiply (2 + -3i) * (iy + x)
(2(iy + x) + -3i * (iy + x)) = 5 + -1i
((iy * 2 + x * 2) + -3i * (iy + x)) = 5 + -1i
((2iy + 2x) + -3i * (iy + x)) = 5 + -1i
(2iy + 2x + (iy * -3i + x * -3i)) = 5 + -1i

Reorder the terms:
(2iy + 2x + (-3ix + -3i2y)) = 5 + -1i
(2iy + 2x + (-3ix + -3i2y)) = 5 + -1i

Reorder the terms:
(-3ix + 2iy + -3i2y + 2x) = 5 + -1i
(-3ix + 2iy + -3i2y + 2x) = 5 + -1i

Solving
-3ix + 2iy + -3i2y + 2x = 5 + -1i

Solving for variable 'i'.

Reorder the terms:
-5 + i + -3ix + 2iy + -3i2y + 2x = 5 + -1i + -5 + i

Reorder the terms:
-5 + i + -3ix + 2iy + -3i2y + 2x = 5 + -5 + -1i + i

Combine like terms: 5 + -5 = 0
-5 + i + -3ix + 2iy + -3i2y + 2x = 0 + -1i + i
-5 + i + -3ix + 2iy + -3i2y + 2x = -1i + i

Combine like terms: -1i + i = 0
-5 + i + -3ix + 2iy + -3i2y + 2x = 0

The solution to this equation could not be determined.

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