(3x-i)(2+i)+(x-iy)(1+2i)=(26+11i)

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Solution for (3x-i)(2+i)+(x-iy)(1+2i)=(26+11i) equation: 


Simplifying
(3x + -1i)(2 + i) + (x + -1iy)(1 + 2i) = (26 + 11i)

Reorder the terms:
(-1i + 3x)(2 + i) + (x + -1iy)(1 + 2i) = (26 + 11i)

Multiply (-1i + 3x) * (2 + i)
(-1i * (2 + i) + 3x * (2 + i)) + (x + -1iy)(1 + 2i) = (26 + 11i)
((2 * -1i + i * -1i) + 3x * (2 + i)) + (x + -1iy)(1 + 2i) = (26 + 11i)
((-2i + -1i2) + 3x * (2 + i)) + (x + -1iy)(1 + 2i) = (26 + 11i)
(-2i + -1i2 + (2 * 3x + i * 3x)) + (x + -1iy)(1 + 2i) = (26 + 11i)

Reorder the terms:
(-2i + -1i2 + (3ix + 6x)) + (x + -1iy)(1 + 2i) = (26 + 11i)
(-2i + -1i2 + (3ix + 6x)) + (x + -1iy)(1 + 2i) = (26 + 11i)

Reorder the terms:
(-2i + 3ix + -1i2 + 6x) + (x + -1iy)(1 + 2i) = (26 + 11i)
(-2i + 3ix + -1i2 + 6x) + (x + -1iy)(1 + 2i) = (26 + 11i)

Reorder the terms:
-2i + 3ix + -1i2 + 6x + (-1iy + x)(1 + 2i) = (26 + 11i)

Multiply (-1iy + x) * (1 + 2i)
-2i + 3ix + -1i2 + 6x + (-1iy * (1 + 2i) + x(1 + 2i)) = (26 + 11i)
-2i + 3ix + -1i2 + 6x + ((1 * -1iy + 2i * -1iy) + x(1 + 2i)) = (26 + 11i)
-2i + 3ix + -1i2 + 6x + ((-1iy + -2i2y) + x(1 + 2i)) = (26 + 11i)
-2i + 3ix + -1i2 + 6x + (-1iy + -2i2y + (1 * x + 2i * x)) = (26 + 11i)

Reorder the terms:
-2i + 3ix + -1i2 + 6x + (-1iy + -2i2y + (2ix + 1x)) = (26 + 11i)
-2i + 3ix + -1i2 + 6x + (-1iy + -2i2y + (2ix + 1x)) = (26 + 11i)

Reorder the terms:
-2i + 3ix + -1i2 + 6x + (2ix + -1iy + -2i2y + 1x) = (26 + 11i)
-2i + 3ix + -1i2 + 6x + (2ix + -1iy + -2i2y + 1x) = (26 + 11i)

Reorder the terms:
-2i + 3ix + 2ix + -1iy + -1i2 + -2i2y + 6x + 1x = (26 + 11i)

Combine like terms: 3ix + 2ix = 5ix
-2i + 5ix + -1iy + -1i2 + -2i2y + 6x + 1x = (26 + 11i)

Combine like terms: 6x + 1x = 7x
-2i + 5ix + -1iy + -1i2 + -2i2y + 7x = (26 + 11i)

Remove parenthesis around (26 + 11i)
-2i + 5ix + -1iy + -1i2 + -2i2y + 7x = 26 + 11i

Solving
-2i + 5ix + -1iy + -1i2 + -2i2y + 7x = 26 + 11i

Solving for variable 'i'.

Reorder the terms:
-26 + -2i + -11i + 5ix + -1iy + -1i2 + -2i2y + 7x = 26 + 11i + -26 + -11i

Combine like terms: -2i + -11i = -13i
-26 + -13i + 5ix + -1iy + -1i2 + -2i2y + 7x = 26 + 11i + -26 + -11i

Reorder the terms:
-26 + -13i + 5ix + -1iy + -1i2 + -2i2y + 7x = 26 + -26 + 11i + -11i

Combine like terms: 26 + -26 = 0
-26 + -13i + 5ix + -1iy + -1i2 + -2i2y + 7x = 0 + 11i + -11i
-26 + -13i + 5ix + -1iy + -1i2 + -2i2y + 7x = 11i + -11i

Combine like terms: 11i + -11i = 0
-26 + -13i + 5ix + -1iy + -1i2 + -2i2y + 7x = 0

The solution to this equation could not be determined.

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