(2+i)x+1=10i

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Solution for (2+i)x+1=10i equation:


Simplifying
(2 + i) * x + 1 = 10i

Reorder the terms for easier multiplication:
x(2 + i) + 1 = 10i
(2 * x + i * x) + 1 = 10i

Reorder the terms:
(ix + 2x) + 1 = 10i
(ix + 2x) + 1 = 10i

Reorder the terms:
1 + ix + 2x = 10i

Solving
1 + ix + 2x = 10i

Solving for variable 'i'.

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

Add '-10i' to each side of the equation.
1 + ix + -10i + 2x = 10i + -10i

Reorder the terms:
1 + -10i + ix + 2x = 10i + -10i

Combine like terms: 10i + -10i = 0
1 + -10i + ix + 2x = 0

Add '-1' to each side of the equation.
1 + -10i + ix + -1 + 2x = 0 + -1

Reorder the terms:
1 + -1 + -10i + ix + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10i + ix + 2x = 0 + -1
-10i + ix + 2x = 0 + -1

Combine like terms: 0 + -1 = -1
-10i + ix + 2x = -1

Add '-2x' to each side of the equation.
-10i + ix + 2x + -2x = -1 + -2x

Combine like terms: 2x + -2x = 0
-10i + ix + 0 = -1 + -2x
-10i + ix = -1 + -2x

Reorder the terms:
1 + -10i + ix + 2x = -1 + -2x + 1 + 2x

Reorder the terms:
1 + -10i + ix + 2x = -1 + 1 + -2x + 2x

Combine like terms: -1 + 1 = 0
1 + -10i + ix + 2x = 0 + -2x + 2x
1 + -10i + ix + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -10i + ix + 2x = 0

The solution to this equation could not be determined.

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