Solve the following quadratic equation: (x-16) ^2 = 256

Simplifying

(x + - 16) * 2 = 256

Reorder the terms:

(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:

2 (-16 + x) = 256

(-16 * 2 + x * 2) = 256

(-32 + 2x) = 256

Solving

-32 + 2x = 256

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 + 2x = 256 + 32

Combine like terms: - 32 + 32 = 0

0 + 2x = 256 + 32

2x = 256 + 32

Combine like terms: 256 + 32 = 288

2x = 288

Divide each side by '2'.

x = 144

Simplifying

x = 144