Final answer:
To isolate x in the given equation, we expand and rearrange terms to simplify the equation and remove constants, resulting in x² - 4x = 56.
Step-by-step explanation:
To isolate the variable x in the given equation, we need to simplify the equation by expanding and rearranging terms. First, let's expand (x-2)² to get x² - 4x + 4. The equation now becomes x² - 4x + 4 + ² = 64. Now, let's simplify the equation further. Combining like terms, we have x² - 4x + 4 + 4 = 64. This simplifies to x² - 4x + 8 = 64. To isolate x, we can subtract 8 from both sides of the equation, resulting in x² - 4x = 56.
So, the correct answer is:
D. x² - 4x = 56.
Learn more about isolation of variables