(x+2i)*(4-yi)=10+6i

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Solution for (x+2i)*(4-yi)=10+6i equation: 


Simplifying
(x + 2i)(4 + -1yi) = 10 + 6i

Reorder the terms:
(2i + x)(4 + -1yi) = 10 + 6i

Multiply (2i + x) * (4 + -1iy)
(2i * (4 + -1iy) + x(4 + -1iy)) = 10 + 6i
((4 * 2i + -1iy * 2i) + x(4 + -1iy)) = 10 + 6i
((8i + -2i2y) + x(4 + -1iy)) = 10 + 6i
(8i + -2i2y + (4 * x + -1iy * x)) = 10 + 6i

Reorder the terms:
(8i + -2i2y + (-1ixy + 4x)) = 10 + 6i
(8i + -2i2y + (-1ixy + 4x)) = 10 + 6i

Reorder the terms:
(8i + -1ixy + -2i2y + 4x) = 10 + 6i
(8i + -1ixy + -2i2y + 4x) = 10 + 6i

Solving
8i + -1ixy + -2i2y + 4x = 10 + 6i

Solving for variable 'i'.

Reorder the terms:
-10 + 8i + -6i + -1ixy + -2i2y + 4x = 10 + 6i + -10 + -6i

Combine like terms: 8i + -6i = 2i
-10 + 2i + -1ixy + -2i2y + 4x = 10 + 6i + -10 + -6i

Reorder the terms:
-10 + 2i + -1ixy + -2i2y + 4x = 10 + -10 + 6i + -6i

Combine like terms: 10 + -10 = 0
-10 + 2i + -1ixy + -2i2y + 4x = 0 + 6i + -6i
-10 + 2i + -1ixy + -2i2y + 4x = 6i + -6i

Combine like terms: 6i + -6i = 0
-10 + 2i + -1ixy + -2i2y + 4x = 0

The solution to this equation could not be determined.

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