(x-8)(x+8)=40

Solution for (x-8)(x+8)=40 equation:

Simplifying
(x + -8)(x + 8) = 40

Reorder the terms:
(-8 + x)(x + 8) = 40

Reorder the terms:
(-8 + x)(8 + x) = 40

Multiply (-8 + x) * (8 + x)
(-8(8 + x) + x(8 + x)) = 40
((8 * -8 + x * -8) + x(8 + x)) = 40
((-64 + -8x) + x(8 + x)) = 40
(-64 + -8x + (8 * x + x * x)) = 40
(-64 + -8x + (8x + x2)) = 40

Combine like terms: -8x + 8x = 0
(-64 + 0 + x2) = 40
(-64 + x2) = 40

Solving
-64 + x2 = 40

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 = 40 + 64

Combine like terms: -64 + 64 = 0
0 + x2 = 40 + 64
x2 = 40 + 64

Combine like terms: 40 + 64 = 104
x2 = 104

Simplifying
x2 = 104

Take the square root of each side:
x = {-10.198039027, 10.198039027}