4+(x+2y)i=x+2y

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Solution for 4+(x+2y)i=x+2y equation:


Simplifying
4 + (x + 2y) * i = x + 2y

Reorder the terms for easier multiplication:
4 + i(x + 2y) = x + 2y
4 + (x * i + 2y * i) = x + 2y
4 + (ix + 2iy) = x + 2y

Solving
4 + ix + 2iy = x + 2y

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + ix + -4 + 2iy = x + -4 + 2y

Reorder the terms:
4 + -4 + ix + 2iy = x + -4 + 2y

Combine like terms: 4 + -4 = 0
0 + ix + 2iy = x + -4 + 2y
ix + 2iy = x + -4 + 2y

Reorder the terms:
ix + 2iy = -4 + x + 2y

Reorder the terms:
4 + ix + 2iy + -1x + -2y = -4 + x + 2y + 4 + -1x + -2y

Reorder the terms:
4 + ix + 2iy + -1x + -2y = -4 + 4 + x + -1x + 2y + -2y

Combine like terms: -4 + 4 = 0
4 + ix + 2iy + -1x + -2y = 0 + x + -1x + 2y + -2y
4 + ix + 2iy + -1x + -2y = x + -1x + 2y + -2y

Combine like terms: x + -1x = 0
4 + ix + 2iy + -1x + -2y = 0 + 2y + -2y
4 + ix + 2iy + -1x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
4 + ix + 2iy + -1x + -2y = 0

The solution to this equation could not be determined.

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