(x+y)(x-y)=32

Solution for (x+y)(x-y)=32 equation:

Simplifying
(x + y)(x + -1y) = 32

Multiply (x + y) * (x + -1y)
(x(x + -1y) + y(x + -1y)) = 32
((x * x + -1y * x) + y(x + -1y)) = 32

Reorder the terms:
((-1xy + x2) + y(x + -1y)) = 32
((-1xy + x2) + y(x + -1y)) = 32
(-1xy + x2 + (x * y + -1y * y)) = 32
(-1xy + x2 + (xy + -1y2)) = 32

Reorder the terms:
(-1xy + xy + x2 + -1y2) = 32

Combine like terms: -1xy + xy = 0
(0 + x2 + -1y2) = 32
(x2 + -1y2) = 32

Solving
x2 + -1y2 = 32

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 = 32 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 32 + y2
x2 = 32 + y2

Simplifying
x2 = 32 + y2

Reorder the terms:
-32 + x2 + -1y2 = 32 + y2 + -32 + -1y2

Reorder the terms:
-32 + x2 + -1y2 = 32 + -32 + y2 + -1y2

Combine like terms: 32 + -32 = 0
-32 + x2 + -1y2 = 0 + y2 + -1y2
-32 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-32 + x2 + -1y2 = 0

The solution to this equation could not be determined.