(x+2i)*(5+iy)=4+16i

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Solution for (x+2i)*(5+iy)=4+16i equation: 


Simplifying
(x + 2i)(5 + iy) = 4 + 16i

Reorder the terms:
(2i + x)(5 + iy) = 4 + 16i

Multiply (2i + x) * (5 + iy)
(2i * (5 + iy) + x(5 + iy)) = 4 + 16i
((5 * 2i + iy * 2i) + x(5 + iy)) = 4 + 16i
((10i + 2i2y) + x(5 + iy)) = 4 + 16i
(10i + 2i2y + (5 * x + iy * x)) = 4 + 16i

Reorder the terms:
(10i + 2i2y + (ixy + 5x)) = 4 + 16i
(10i + 2i2y + (ixy + 5x)) = 4 + 16i

Reorder the terms:
(10i + ixy + 2i2y + 5x) = 4 + 16i
(10i + ixy + 2i2y + 5x) = 4 + 16i

Solving
10i + ixy + 2i2y + 5x = 4 + 16i

Solving for variable 'i'.

Reorder the terms:
-4 + 10i + -16i + ixy + 2i2y + 5x = 4 + 16i + -4 + -16i

Combine like terms: 10i + -16i = -6i
-4 + -6i + ixy + 2i2y + 5x = 4 + 16i + -4 + -16i

Reorder the terms:
-4 + -6i + ixy + 2i2y + 5x = 4 + -4 + 16i + -16i

Combine like terms: 4 + -4 = 0
-4 + -6i + ixy + 2i2y + 5x = 0 + 16i + -16i
-4 + -6i + ixy + 2i2y + 5x = 16i + -16i

Combine like terms: 16i + -16i = 0
-4 + -6i + ixy + 2i2y + 5x = 0

The solution to this equation could not be determined.

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