Respuesta :
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
(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
Answer:
x = 32 or x = 0
Step-by-step explanation:
(x - 16)² = 256
Expand and simplify the equation.
x² − 32x + 256 = 256
Subtract 256 from either side of the equation.
x² − 32x + 256 − 256 = 256 − 256
Simplify the equation.
x² - 32x = 0
Factor and set the factors to 0.
x = 0 or x = 32
The answer is x = 0 or x = 32.
I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.
Good luck ^^