Question

Solve 0.5(-4+8d) - 4d = -12 for d.No solution Infinite solutions d=0.25 d=-8

a.No solution
b.Infinite solutions
c.d=0.25
d.d=-8

Answer 1

The equation 0.5(-4+8d) - 4d = -12 simplifies to -2 = -12 when attempting to solve for d, which is false, indicating there is no solution to the equation.

Step-by-step explanation:

To solve the equation 0.5(-4+8d) - 4d = -12 for d, we'll follow these steps:

1. Distribute the 0.5 into the parentheses: 0.5 * -4 + 0.5 * 8d - 4d = -12, which simplifies to -2 + 4d - 4d = -12.
2. Combine like terms: -2 = -12.
3. Add 2 to both sides to isolate the numerical value: 0 = -10, which is not possible.

This indicates there is no solution for the equation, as the variable d has been eliminated, and we are left with a false statement.