(xn-8)(xn+8)=0

Solution for (xn-8)(xn+8)=0 equation:

Simplifying
(xn + -8)(xn + 8) = 0

Reorder the terms:
(-8 + nx)(xn + 8) = 0

Reorder the terms:
(-8 + nx)(8 + nx) = 0

Multiply (-8 + nx) * (8 + nx)
(-8(8 + nx) + nx(8 + nx)) = 0
((8 * -8 + nx * -8) + nx(8 + nx)) = 0
((-64 + -8nx) + nx(8 + nx)) = 0
(-64 + -8nx + (8 * nx + nx * nx)) = 0
(-64 + -8nx + (8nx + n2x2)) = 0

Combine like terms: -8nx + 8nx = 0
(-64 + 0 + n2x2) = 0
(-64 + n2x2) = 0

Solving
-64 + n2x2 = 0

Solving for variable 'n'.

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

Add '64' to each side of the equation.
-64 + 64 + n2x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + n2x2 = 0 + 64
n2x2 = 0 + 64

Combine like terms: 0 + 64 = 64
n2x2 = 64

Divide each side by 'x2'.
n2 = 64x-2

Simplifying
n2 = 64x-2

Take the square root of each side:
n = {-8x-1, 8x-1}