(x+y)(x-y)=

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

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

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

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

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

Combine like terms: -1xy + xy = 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}