x*x+x*i+y+y*-i+i=13

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Solution for x*x+x*i+y+y*-i+i=13 equation:


Simplifying
x * x + x * i + y + y * -1i + i = 13

Multiply x * x
x2 + x * i + y + y * -1i + i = 13

Multiply x * i
x2 + ix + y + y * -1i + i = 13

Reorder the terms for easier multiplication:
x2 + ix + y + -1y * i + i = 13

Multiply y * i
x2 + ix + y + -1iy + i = 13

Reorder the terms:
i + ix + -1iy + x2 + y = 13

Solving
i + ix + -1iy + x2 + y = 13

Solving for variable 'i'.

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

Add '-1x2' to each side of the equation.
i + ix + -1iy + x2 + -1x2 + y = 13 + -1x2

Combine like terms: x2 + -1x2 = 0
i + ix + -1iy + 0 + y = 13 + -1x2
i + ix + -1iy + y = 13 + -1x2

Add '-1y' to each side of the equation.
i + ix + -1iy + y + -1y = 13 + -1x2 + -1y

Combine like terms: y + -1y = 0
i + ix + -1iy + 0 = 13 + -1x2 + -1y
i + ix + -1iy = 13 + -1x2 + -1y

Reorder the terms:
-13 + i + ix + -1iy + x2 + y = 13 + -1x2 + -1y + -13 + x2 + y

Reorder the terms:
-13 + i + ix + -1iy + x2 + y = 13 + -13 + -1x2 + x2 + -1y + y

Combine like terms: 13 + -13 = 0
-13 + i + ix + -1iy + x2 + y = 0 + -1x2 + x2 + -1y + y
-13 + i + ix + -1iy + x2 + y = -1x2 + x2 + -1y + y

Combine like terms: -1x2 + x2 = 0
-13 + i + ix + -1iy + x2 + y = 0 + -1y + y
-13 + i + ix + -1iy + x2 + y = -1y + y

Combine like terms: -1y + y = 0
-13 + i + ix + -1iy + x2 + y = 0

The solution to this equation could not be determined.

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