(2+i)x=1+2i

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


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

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

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

Solving
ix + 2x = 1 + 2i

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 + 2x = 1 + 2i + -2i

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

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

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

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