Question

Solve 0.5(−4 8d) − 4d = −12 for d. no solution infinite solutions d = 0.25 d = −8

Answer 1

To solve the equation 0.5(−4 8d) − 4d = −12 for d, simplify and isolate d on one side of the equation. The solution is d ≈ 0.545.

Step-by-step explanation:

To solve the equation 0.5(−4 8d) − 4d = −12 for d, we need to simplify and isolate d on one side of the equation.

Step 1: Distribute 0.5 to the terms inside the parenthesis: -2d - 16d - 4d = -12

Step 2: Combine like terms: -22d = -12

Step 3: Divide both sides by -22 to solve for d: d = -12 / -22

The solution is d ≈ 0.545

Answer 2

The equation 0.5(-4 · 8d) - 4d = -12 for d, distribute the 0.5, combine like terms, and isolate d by dividing both sides by -20 to get d = 3/5 or d = 0.6.

Let's solve the equation 0.5(-4 · 8d) - 4d = -12 for d:

First, distribute the 0.5 to the terms inside the parentheses:
-2(8d) - 4d = -12

Now, combine like terms:
-16d - 4d = -12

Combine the coefficients:
-20d = -12

Now, isolate d by dividing both sides by -20:
d = -12/-20

Simplify the fraction:
d = 3/5

So, the solution to the equation is d = 3/5, which is equivalent to d = 0.6. Therefore, none of the options provided (no solution, infinite solutions, d = 0.25, d = -8) is the correct solution.