(x-y)(x+y)=

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

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

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

Reorder the terms:
((xy + x2) + -1y * (x + y)) = 0
((xy + x2) + -1y * (x + y)) = 0
(xy + x2 + (x * -1y + y * -1y)) = 0
(xy + x2 + (-1xy + -1y2)) = 0

Reorder the terms:
(xy + -1xy + x2 + -1y2) = 0

Combine like terms: xy + -1xy = 0
(0 + x2 + -1y2) = 0
(x2 + -1y2) = 0

Solving
x2 + -1y2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 0 + y2
x2 = 0 + y2
Remove the zero:
x2 = y2

Simplifying
x2 = y2

Take the square root of each side:
x = {-1y, y}