3x+4y+(x+2y)i=5+3i

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


Simplifying
3x + 4y + (x + 2y) * i = 5 + 3i

Reorder the terms for easier multiplication:
3x + 4y + i(x + 2y) = 5 + 3i
3x + 4y + (x * i + 2y * i) = 5 + 3i
3x + 4y + (ix + 2iy) = 5 + 3i

Reorder the terms:
ix + 2iy + 3x + 4y = 5 + 3i

Solving
ix + 2iy + 3x + 4y = 5 + 3i

Solving for variable 'i'.

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

Add '-3i' to each side of the equation.
ix + 2iy + 3x + -3i + 4y = 5 + 3i + -3i

Reorder the terms:
-3i + ix + 2iy + 3x + 4y = 5 + 3i + -3i

Combine like terms: 3i + -3i = 0
-3i + ix + 2iy + 3x + 4y = 5 + 0
-3i + ix + 2iy + 3x + 4y = 5

Add '-3x' to each side of the equation.
-3i + ix + 2iy + 3x + -3x + 4y = 5 + -3x

Combine like terms: 3x + -3x = 0
-3i + ix + 2iy + 0 + 4y = 5 + -3x
-3i + ix + 2iy + 4y = 5 + -3x

Add '-4y' to each side of the equation.
-3i + ix + 2iy + 4y + -4y = 5 + -3x + -4y

Combine like terms: 4y + -4y = 0
-3i + ix + 2iy + 0 = 5 + -3x + -4y
-3i + ix + 2iy = 5 + -3x + -4y

Reorder the terms:
-5 + -3i + ix + 2iy + 3x + 4y = 5 + -3x + -4y + -5 + 3x + 4y

Reorder the terms:
-5 + -3i + ix + 2iy + 3x + 4y = 5 + -5 + -3x + 3x + -4y + 4y

Combine like terms: 5 + -5 = 0
-5 + -3i + ix + 2iy + 3x + 4y = 0 + -3x + 3x + -4y + 4y
-5 + -3i + ix + 2iy + 3x + 4y = -3x + 3x + -4y + 4y

Combine like terms: -3x + 3x = 0
-5 + -3i + ix + 2iy + 3x + 4y = 0 + -4y + 4y
-5 + -3i + ix + 2iy + 3x + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-5 + -3i + ix + 2iy + 3x + 4y = 0

The solution to this equation could not be determined.

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