(x-4)(x+4)-16=0

Solution for (x-4)(x+4)-16=0 equation:

Simplifying
(x + -4)(x + 4) + -16 = 0

Reorder the terms:
(-4 + x)(x + 4) + -16 = 0

Reorder the terms:
(-4 + x)(4 + x) + -16 = 0

Multiply (-4 + x) * (4 + x)
(-4(4 + x) + x(4 + x)) + -16 = 0
((4 * -4 + x * -4) + x(4 + x)) + -16 = 0
((-16 + -4x) + x(4 + x)) + -16 = 0
(-16 + -4x + (4 * x + x * x)) + -16 = 0
(-16 + -4x + (4x + x2)) + -16 = 0

Combine like terms: -4x + 4x = 0
(-16 + 0 + x2) + -16 = 0
(-16 + x2) + -16 = 0

Reorder the terms:
-16 + -16 + x2 = 0

Combine like terms: -16 + -16 = -32
-32 + x2 = 0

Solving
-32 + x2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + x2 = 0 + 32

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

Combine like terms: 0 + 32 = 32
x2 = 32

Simplifying
x2 = 32

Take the square root of each side:
x = {-5.656854249, 5.656854249}