2x+(1+i)(x+y)=7+i

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Solution for 2x+(1+i)(x+y)=7+i equation: 


Simplifying
2x + (1 + i)(x + y) = 7 + i

Multiply (1 + i) * (x + y)
2x + (1(x + y) + i(x + y)) = 7 + i
2x + ((x * 1 + y * 1) + i(x + y)) = 7 + i
2x + ((1x + 1y) + i(x + y)) = 7 + i
2x + (1x + 1y + (x * i + y * i)) = 7 + i
2x + (1x + 1y + (ix + iy)) = 7 + i

Reorder the terms:
2x + (ix + iy + 1x + 1y) = 7 + i
2x + (ix + iy + 1x + 1y) = 7 + i

Reorder the terms:
ix + iy + 2x + 1x + 1y = 7 + i

Combine like terms: 2x + 1x = 3x
ix + iy + 3x + 1y = 7 + i

Solving
ix + iy + 3x + 1y = 7 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
ix + iy + 3x + -1i + 1y = 7 + i + -1i

Reorder the terms:
-1i + ix + iy + 3x + 1y = 7 + i + -1i

Combine like terms: i + -1i = 0
-1i + ix + iy + 3x + 1y = 7 + 0
-1i + ix + iy + 3x + 1y = 7

Add '-3x' to each side of the equation.
-1i + ix + iy + 3x + -3x + 1y = 7 + -3x

Combine like terms: 3x + -3x = 0
-1i + ix + iy + 0 + 1y = 7 + -3x
-1i + ix + iy + 1y = 7 + -3x

Add '-1y' to each side of the equation.
-1i + ix + iy + 1y + -1y = 7 + -3x + -1y

Combine like terms: 1y + -1y = 0
-1i + ix + iy + 0 = 7 + -3x + -1y
-1i + ix + iy = 7 + -3x + -1y

Reorder the terms:
-7 + -1i + ix + iy + 3x + y = 7 + -3x + -1y + -7 + 3x + y

Reorder the terms:
-7 + -1i + ix + iy + 3x + y = 7 + -7 + -3x + 3x + -1y + y

Combine like terms: 7 + -7 = 0
-7 + -1i + ix + iy + 3x + y = 0 + -3x + 3x + -1y + y
-7 + -1i + ix + iy + 3x + y = -3x + 3x + -1y + y

Combine like terms: -3x + 3x = 0
-7 + -1i + ix + iy + 3x + y = 0 + -1y + y
-7 + -1i + ix + iy + 3x + y = -1y + y

Combine like terms: -1y + y = 0
-7 + -1i + ix + iy + 3x + y = 0

The solution to this equation could not be determined.

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