Final answer:
To solve the given equation, calculate the exponent, subtract 6, multiply by 4, and finally divide both sides by 40 to solve for x, which equals 0.4.
Step-by-step explanation:
When solving the equation 16 = x · 4 · (2^4 - 6), you want to approach it step by step. First, calculate the value of the exponent. In this case, 2^4 equals 16. Then, subtract 6 from this number to get 10. Next, you multiply 4 by 10 to get 40. Now the equation simplifies to 16 = 40x. To find x, divide both sides of the equation by 40, resulting in x = ⅔ or x = 0.4. It's crucial to work through each step carefully and check your work to build perseverance and ensure accuracy.
To solve the equation 16 = x * 4 * (2^4 - 6) with an emphasis on building perseverance, follow these steps:
Distribute the multiplication: 16 = x * 4 * (16 - 6)
Do the subtraction inside the parentheses: 16 = x * 4 * 10
Multiply the numbers: 16 = 40x
Divide both sides by 40 to isolate x: x = 16/40
Simplify the fraction: x = 2/5