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

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


Simplifying
(2 + 3i)(5x + -2yi) = 4 + -1i

Reorder the terms:
(2 + 3i)(-2iy + 5x) = 4 + -1i

Multiply (2 + 3i) * (-2iy + 5x)
(2(-2iy + 5x) + 3i * (-2iy + 5x)) = 4 + -1i
((-2iy * 2 + 5x * 2) + 3i * (-2iy + 5x)) = 4 + -1i
((-4iy + 10x) + 3i * (-2iy + 5x)) = 4 + -1i
(-4iy + 10x + (-2iy * 3i + 5x * 3i)) = 4 + -1i

Reorder the terms:
(-4iy + 10x + (15ix + -6i2y)) = 4 + -1i
(-4iy + 10x + (15ix + -6i2y)) = 4 + -1i

Reorder the terms:
(15ix + -4iy + -6i2y + 10x) = 4 + -1i
(15ix + -4iy + -6i2y + 10x) = 4 + -1i

Solving
15ix + -4iy + -6i2y + 10x = 4 + -1i

Solving for variable 'i'.

Reorder the terms:
-4 + i + 15ix + -4iy + -6i2y + 10x = 4 + -1i + -4 + i

Reorder the terms:
-4 + i + 15ix + -4iy + -6i2y + 10x = 4 + -4 + -1i + i

Combine like terms: 4 + -4 = 0
-4 + i + 15ix + -4iy + -6i2y + 10x = 0 + -1i + i
-4 + i + 15ix + -4iy + -6i2y + 10x = -1i + i

Combine like terms: -1i + i = 0
-4 + i + 15ix + -4iy + -6i2y + 10x = 0

The solution to this equation could not be determined.

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