(x+y)x-64=yx

Solution for (x+y)x-64=yx equation:

Simplifying
(x + y) * x + -64 = yx

Reorder the terms for easier multiplication:
x(x + y) + -64 = yx
(x * x + y * x) + -64 = yx

Reorder the terms:
(xy + x2) + -64 = yx
(xy + x2) + -64 = yx

Reorder the terms:
-64 + xy + x2 = yx

Add '-1xy' to each side of the equation.
-64 + xy + -1xy + x2 = xy + -1xy

Combine like terms: xy + -1xy = 0
-64 + 0 + x2 = xy + -1xy
-64 + x2 = xy + -1xy

Combine like terms: xy + -1xy = 0
-64 + x2 = 0

Solving
-64 + x2 = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x2 = 0 + 64
x2 = 0 + 64

Combine like terms: 0 + 64 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}