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

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


Simplifying
x2 + -4y + (2y + -1x) * i = 2 + -1i

Reorder the terms:
x2 + -4y + (-1x + 2y) * i = 2 + -1i

Reorder the terms for easier multiplication:
x2 + -4y + i(-1x + 2y) = 2 + -1i
x2 + -4y + (-1x * i + 2y * i) = 2 + -1i
x2 + -4y + (-1ix + 2iy) = 2 + -1i

Reorder the terms:
-1ix + 2iy + x2 + -4y = 2 + -1i

Solving
-1ix + 2iy + x2 + -4y = 2 + -1i

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
-1ix + 2iy + x2 + i + -4y = 2 + -1i + i

Reorder the terms:
i + -1ix + 2iy + x2 + -4y = 2 + -1i + i

Combine like terms: -1i + i = 0
i + -1ix + 2iy + x2 + -4y = 2 + 0
i + -1ix + 2iy + x2 + -4y = 2

Add '-1x2' to each side of the equation.
i + -1ix + 2iy + x2 + -1x2 + -4y = 2 + -1x2

Combine like terms: x2 + -1x2 = 0
i + -1ix + 2iy + 0 + -4y = 2 + -1x2
i + -1ix + 2iy + -4y = 2 + -1x2

Add '4y' to each side of the equation.
i + -1ix + 2iy + -4y + 4y = 2 + -1x2 + 4y

Combine like terms: -4y + 4y = 0
i + -1ix + 2iy + 0 = 2 + -1x2 + 4y
i + -1ix + 2iy = 2 + -1x2 + 4y

Reorder the terms:
-2 + i + -1ix + 2iy + x2 + -4y = 2 + -1x2 + 4y + -2 + x2 + -4y

Reorder the terms:
-2 + i + -1ix + 2iy + x2 + -4y = 2 + -2 + -1x2 + x2 + 4y + -4y

Combine like terms: 2 + -2 = 0
-2 + i + -1ix + 2iy + x2 + -4y = 0 + -1x2 + x2 + 4y + -4y
-2 + i + -1ix + 2iy + x2 + -4y = -1x2 + x2 + 4y + -4y

Combine like terms: -1x2 + x2 = 0
-2 + i + -1ix + 2iy + x2 + -4y = 0 + 4y + -4y
-2 + i + -1ix + 2iy + x2 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + i + -1ix + 2iy + x2 + -4y = 0

The solution to this equation could not be determined.

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