3+xi=(x+1)2i

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

Simplifying
3 + xi = (x + 1) * 2i

Reorder the terms:
3 + ix = (1 + x) * 2i

Reorder the terms for easier multiplication:
3 + ix = 2i(1 + x)
3 + ix = (1 * 2i + x * 2i)
3 + ix = (2i + 2ix)

Solving
3 + ix = 2i + 2ix

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.
3 + -2i + ix = 2i + -2i + 2ix

Combine like terms: 2i + -2i = 0
3 + -2i + ix = 0 + 2ix
3 + -2i + ix = 2ix

Add '-2ix' to each side of the equation.
3 + -2i + ix + -2ix = 2ix + -2ix

Combine like terms: ix + -2ix = -1ix
3 + -2i + -1ix = 2ix + -2ix

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

Add '-3' to each side of the equation.
3 + -2i + -3 + -1ix = 0 + -3

Reorder the terms:
3 + -3 + -2i + -1ix = 0 + -3

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

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

Reorder the terms:
3 + -2i + -1ix = -3 + 3

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

The solution to this equation could not be determined.