(x+2i)(3-4yi)=5+8i

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Solution for (x+2i)(3-4yi)=5+8i equation: 


Simplifying
(x + 2i)(3 + -4yi) = 5 + 8i

Reorder the terms:
(2i + x)(3 + -4yi) = 5 + 8i

Multiply (2i + x) * (3 + -4iy)
(2i * (3 + -4iy) + x(3 + -4iy)) = 5 + 8i
((3 * 2i + -4iy * 2i) + x(3 + -4iy)) = 5 + 8i
((6i + -8i2y) + x(3 + -4iy)) = 5 + 8i
(6i + -8i2y + (3 * x + -4iy * x)) = 5 + 8i

Reorder the terms:
(6i + -8i2y + (-4ixy + 3x)) = 5 + 8i
(6i + -8i2y + (-4ixy + 3x)) = 5 + 8i

Reorder the terms:
(6i + -4ixy + -8i2y + 3x) = 5 + 8i
(6i + -4ixy + -8i2y + 3x) = 5 + 8i

Solving
6i + -4ixy + -8i2y + 3x = 5 + 8i

Solving for variable 'i'.

Reorder the terms:
-5 + 6i + -8i + -4ixy + -8i2y + 3x = 5 + 8i + -5 + -8i

Combine like terms: 6i + -8i = -2i
-5 + -2i + -4ixy + -8i2y + 3x = 5 + 8i + -5 + -8i

Reorder the terms:
-5 + -2i + -4ixy + -8i2y + 3x = 5 + -5 + 8i + -8i

Combine like terms: 5 + -5 = 0
-5 + -2i + -4ixy + -8i2y + 3x = 0 + 8i + -8i
-5 + -2i + -4ixy + -8i2y + 3x = 8i + -8i

Combine like terms: 8i + -8i = 0
-5 + -2i + -4ixy + -8i2y + 3x = 0

The solution to this equation could not be determined.

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