(x-4)(x+4)+8=0

Solution for (x-4)(x+4)+8=0 equation:

Simplifying
(x + -4)(x + 4) + 8 = 0

Reorder the terms:
(-4 + x)(x + 4) + 8 = 0

Reorder the terms:
(-4 + x)(4 + x) + 8 = 0

Multiply (-4 + x) * (4 + x)
(-4(4 + x) + x(4 + x)) + 8 = 0
((4 * -4 + x * -4) + x(4 + x)) + 8 = 0
((-16 + -4x) + x(4 + x)) + 8 = 0
(-16 + -4x + (4 * x + x * x)) + 8 = 0
(-16 + -4x + (4x + x2)) + 8 = 0

Combine like terms: -4x + 4x = 0
(-16 + 0 + x2) + 8 = 0
(-16 + x2) + 8 = 0

Reorder the terms:
-16 + 8 + x2 = 0

Combine like terms: -16 + 8 = -8
-8 + x2 = 0

Solving
-8 + x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 0 + 8
x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}