(x+2yi)(1-i)=7+5i

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Solution for (x+2yi)(1-i)=7+5i equation: 


Simplifying
(x + 2yi)(1 + -1i) = 7 + 5i

Reorder the terms:
(2iy + x)(1 + -1i) = 7 + 5i

Multiply (2iy + x) * (1 + -1i)
(2iy * (1 + -1i) + x(1 + -1i)) = 7 + 5i
((1 * 2iy + -1i * 2iy) + x(1 + -1i)) = 7 + 5i
((2iy + -2i2y) + x(1 + -1i)) = 7 + 5i
(2iy + -2i2y + (1 * x + -1i * x)) = 7 + 5i

Reorder the terms:
(2iy + -2i2y + (-1ix + 1x)) = 7 + 5i
(2iy + -2i2y + (-1ix + 1x)) = 7 + 5i

Reorder the terms:
(-1ix + 2iy + -2i2y + 1x) = 7 + 5i
(-1ix + 2iy + -2i2y + 1x) = 7 + 5i

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

Solving for variable 'i'.

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

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

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

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

The solution to this equation could not be determined.

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