(x+2i)*(y-i)=-4-7i

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Solution for (x+2i)*(y-i)=-4-7i equation: 


Simplifying
(x + 2i)(y + -1i) = -4 + -7i

Reorder the terms:
(2i + x)(y + -1i) = -4 + -7i

Reorder the terms:
(2i + x)(-1i + y) = -4 + -7i

Multiply (2i + x) * (-1i + y)
(2i * (-1i + y) + x(-1i + y)) = -4 + -7i
((-1i * 2i + y * 2i) + x(-1i + y)) = -4 + -7i

Reorder the terms:
((2iy + -2i2) + x(-1i + y)) = -4 + -7i
((2iy + -2i2) + x(-1i + y)) = -4 + -7i
(2iy + -2i2 + (-1i * x + y * x)) = -4 + -7i
(2iy + -2i2 + (-1ix + xy)) = -4 + -7i

Reorder the terms:
(-1ix + 2iy + -2i2 + xy) = -4 + -7i
(-1ix + 2iy + -2i2 + xy) = -4 + -7i

Solving
-1ix + 2iy + -2i2 + xy = -4 + -7i

Solving for variable 'i'.

Reorder the terms:
4 + 7i + -1ix + 2iy + -2i2 + xy = -4 + -7i + 4 + 7i

Reorder the terms:
4 + 7i + -1ix + 2iy + -2i2 + xy = -4 + 4 + -7i + 7i

Combine like terms: -4 + 4 = 0
4 + 7i + -1ix + 2iy + -2i2 + xy = 0 + -7i + 7i
4 + 7i + -1ix + 2iy + -2i2 + xy = -7i + 7i

Combine like terms: -7i + 7i = 0
4 + 7i + -1ix + 2iy + -2i2 + xy = 0

The solution to this equation could not be determined.

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