2+3yi=(x-1)+3i

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Solution for 2+3yi=(x-1)+3i equation:


Simplifying
2 + 3yi = (x + -1) + 3i

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

Remove parenthesis around (-1 + x)
2 + 3iy = -1 + x + 3i

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

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

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.
2 + -3i + 3iy = -1 + 3i + -3i + x

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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