3x+yi=5x+1+2i

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Solution for 3x+yi=5x+1+2i equation:


Simplifying
3x + yi = 5x + 1 + 2i

Reorder the terms:
iy + 3x = 5x + 1 + 2i

Reorder the terms:
iy + 3x = 1 + 2i + 5x

Solving
iy + 3x = 1 + 2i + 5x

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
iy + -2i + 3x = 1 + 2i + -2i + 5x

Reorder the terms:
-2i + iy + 3x = 1 + 2i + -2i + 5x

Combine like terms: 2i + -2i = 0
-2i + iy + 3x = 1 + 0 + 5x
-2i + iy + 3x = 1 + 5x

Add '-3x' to each side of the equation.
-2i + iy + 3x + -3x = 1 + 5x + -3x

Combine like terms: 3x + -3x = 0
-2i + iy + 0 = 1 + 5x + -3x
-2i + iy = 1 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-2i + iy = 1 + 2x

Reorder the terms:
-1 + -2i + iy + -2x = 1 + 2x + -1 + -2x

Reorder the terms:
-1 + -2i + iy + -2x = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
-1 + -2i + iy + -2x = 0 + 2x + -2x
-1 + -2i + iy + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -2i + iy + -2x = 0

The solution to this equation could not be determined.

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