2(x+yi)=x-yi

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Solution for 2(x+yi)=x-yi equation:


Simplifying
2(x + yi) = x + -1yi

Reorder the terms:
2(iy + x) = x + -1yi
(iy * 2 + x * 2) = x + -1yi
(2iy + 2x) = x + -1yi

Reorder the terms:
2iy + 2x = -1iy + x

Solving
2iy + 2x = -1iy + x

Solving for variable 'i'.

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

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

Combine like terms: 2iy + iy = 3iy
3iy + 2x = -1iy + iy + x

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

Add '-2x' to each side of the equation.
3iy + 2x + -2x = x + -2x

Combine like terms: 2x + -2x = 0
3iy + 0 = x + -2x
3iy = x + -2x

Combine like terms: x + -2x = -1x
3iy = -1x

Divide each side by '3y'.
i = -0.3333333333xy-1

Simplifying
i = -0.3333333333xy-1

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