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

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


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

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

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

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

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

Solving
ix + 3x = 1 + 2i + x

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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