Final answer:
To solve the equation (-3n-8)(2n+4)=0, we need to set each factor of the equation equal to zero and solve for n. The correct solutions are n=8/3 and n=-2.
Step-by-step explanation:
Elio and Denise solved the equation (-3n-8)(2n+4)=0. To determine which work is correct, we need to solve the equation and check for the correct solution. First, we set each factor of the equation equal to zero and solve for n. So we have -3n-8=0 and 2n+4=0.
- For -3n-8=0, we add 8 to both sides and divide by -3 to get n=8/3.
- For 2n+4=0, we subtract 4 from both sides and divide by 2 to get n=-2.
Therefore, the correct solutions for the equation are n=8/3 and n=-2. We can confirm this by plugging in these values back into the original equation and checking that it equals zero.