x+3i+3=5+yi

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


Simplifying
x + 3i + 3 = 5 + yi

Reorder the terms:
3 + 3i + x = 5 + yi

Solving
3 + 3i + x = 5 + iy

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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