(X-2yi)*(1-i)=7+i

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Solution for (X-2yi)*(1-i)=7+i equation: 


Simplifying
(X + -2yi)(1 + -1i) = 7 + i

Multiply (X + -2iy) * (1 + -1i)
(X(1 + -1i) + -2iy * (1 + -1i)) = 7 + i
((1 * X + -1i * X) + -2iy * (1 + -1i)) = 7 + i
((1X + -1iX) + -2iy * (1 + -1i)) = 7 + i
(1X + -1iX + (1 * -2iy + -1i * -2iy)) = 7 + i
(1X + -1iX + (-2iy + 2i2y)) = 7 + i
(1X + -1iX + -2iy + 2i2y) = 7 + i

Solving
1X + -1iX + -2iy + 2i2y = 7 + i

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '2iy' to each side of the equation.
1X + -1iX + -2iy + 2iy + 2i2y = 7 + i + 2iy

Combine like terms: -2iy + 2iy = 0
1X + -1iX + 0 + 2i2y = 7 + i + 2iy
1X + -1iX + 2i2y = 7 + i + 2iy

Add '-2i2y' to each side of the equation.
1X + -1iX + 2i2y + -2i2y = 7 + i + 2iy + -2i2y

Combine like terms: 2i2y + -2i2y = 0
1X + -1iX + 0 = 7 + i + 2iy + -2i2y
1X + -1iX = 7 + i + 2iy + -2i2y

Reorder the terms:
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 7 + i + 2iy + -2i2y + -7 + -1i + -2iy + 2i2y

Reorder the terms:
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 7 + -7 + i + -1i + 2iy + -2iy + -2i2y + 2i2y

Combine like terms: 7 + -7 = 0
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 0 + i + -1i + 2iy + -2iy + -2i2y + 2i2y
-7 + 1X + -1i + -1iX + -2iy + 2i2y = i + -1i + 2iy + -2iy + -2i2y + 2i2y

Combine like terms: i + -1i = 0
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 0 + 2iy + -2iy + -2i2y + 2i2y
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 2iy + -2iy + -2i2y + 2i2y

Combine like terms: 2iy + -2iy = 0
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 0 + -2i2y + 2i2y
-7 + 1X + -1i + -1iX + -2iy + 2i2y = -2i2y + 2i2y

Combine like terms: -2i2y + 2i2y = 0
-7 + 1X + -1i + -1iX + -2iy + 2i2y = 0

The solution to this equation could not be determined.

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