(x-iy)(x+iy)=

Solution for (x-iy)(x+iy)= equation:

Simplifying
(x + -1iy)(x + iy) = 0

Reorder the terms:
(-1iy + x)(x + iy) = 0

Reorder the terms:
(-1iy + x)(iy + x) = 0

Multiply (-1iy + x) * (iy + x)
(-1iy * (iy + x) + x(iy + x)) = 0
((iy * -1iy + x * -1iy) + x(iy + x)) = 0

Reorder the terms:
((-1ixy + -1i2y2) + x(iy + x)) = 0
((-1ixy + -1i2y2) + x(iy + x)) = 0
(-1ixy + -1i2y2 + (iy * x + x * x)) = 0
(-1ixy + -1i2y2 + (ixy + x2)) = 0

Reorder the terms:
(-1ixy + ixy + -1i2y2 + x2) = 0

Combine like terms: -1ixy + ixy = 0
(0 + -1i2y2 + x2) = 0
(-1i2y2 + x2) = 0

Solving
-1i2y2 + x2 = 0

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.
-1i2y2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1i2y2 + 0 = 0 + -1x2
-1i2y2 = 0 + -1x2
Remove the zero:
-1i2y2 = -1x2

Divide each side by '-1y2'.
i2 = x2y-2

Simplifying
i2 = x2y-2

Take the square root of each side:
i = {-1xy-1, xy-1}