Question

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

Answer 1

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