(x+3i)(y-2i)=18+6i

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Solution for (x+3i)(y-2i)=18+6i equation: 


Simplifying
(x + 3i)(y + -2i) = 18 + 6i

Reorder the terms:
(3i + x)(y + -2i) = 18 + 6i

Reorder the terms:
(3i + x)(-2i + y) = 18 + 6i

Multiply (3i + x) * (-2i + y)
(3i * (-2i + y) + x(-2i + y)) = 18 + 6i
((-2i * 3i + y * 3i) + x(-2i + y)) = 18 + 6i

Reorder the terms:
((3iy + -6i2) + x(-2i + y)) = 18 + 6i
((3iy + -6i2) + x(-2i + y)) = 18 + 6i
(3iy + -6i2 + (-2i * x + y * x)) = 18 + 6i
(3iy + -6i2 + (-2ix + xy)) = 18 + 6i

Reorder the terms:
(-2ix + 3iy + -6i2 + xy) = 18 + 6i
(-2ix + 3iy + -6i2 + xy) = 18 + 6i

Solving
-2ix + 3iy + -6i2 + xy = 18 + 6i

Solving for variable 'i'.

Reorder the terms:
-18 + -6i + -2ix + 3iy + -6i2 + xy = 18 + 6i + -18 + -6i

Reorder the terms:
-18 + -6i + -2ix + 3iy + -6i2 + xy = 18 + -18 + 6i + -6i

Combine like terms: 18 + -18 = 0
-18 + -6i + -2ix + 3iy + -6i2 + xy = 0 + 6i + -6i
-18 + -6i + -2ix + 3iy + -6i2 + xy = 6i + -6i

Combine like terms: 6i + -6i = 0
-18 + -6i + -2ix + 3iy + -6i2 + xy = 0

The solution to this equation could not be determined.

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