=(x+8y)(x-8y)

Solution for =(x+8y)(x-8y) equation:

Simplifying
0 = (x + 8y)(x + -8y)

Multiply (x + 8y) * (x + -8y)
0 = (x(x + -8y) + 8y * (x + -8y))
0 = ((x * x + -8y * x) + 8y * (x + -8y))

Reorder the terms:
0 = ((-8xy + x2) + 8y * (x + -8y))
0 = ((-8xy + x2) + 8y * (x + -8y))
0 = (-8xy + x2 + (x * 8y + -8y * 8y))
0 = (-8xy + x2 + (8xy + -64y2))

Reorder the terms:
0 = (-8xy + 8xy + x2 + -64y2)

Combine like terms: -8xy + 8xy = 0
0 = (0 + x2 + -64y2)
0 = (x2 + -64y2)

Solving
0 = x2 + -64y2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
0 + -1x2 = x2 + -1x2 + -64y2
Remove the zero:
-1x2 = x2 + -1x2 + -64y2

Combine like terms: x2 + -1x2 = 0
-1x2 = 0 + -64y2
-1x2 = -64y2

Divide each side by '-1'.
x2 = 64y2

Simplifying
x2 = 64y2

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