Sorry, you answered incorrectly. The correct answer was D. To solve this problem, follow the steps given below.
1. 2X²+24X=15X-7
2. You must get the entire equation equal to ZERO first.
2X²+9X+7=0
3. Then you factor like normal. 2X²+2X+7X+7=0
2X(X+1) +7(X+1)
2X+7 and X+1 3. Then set all the polynomials equal to 0 and solve.
2X+7=0
X+1=0
4. Check each answer choice to see if it works.
So your answer is {X=-2/7;-1}