Multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24 x ^2 + 25x − 47 = (−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24 x ^2 + 25x − 47= −8ax^2 − 3ax + 16x + 6 − 53
Then, reduce on the right side of the equation
24 x ^2 + 25x − 47= (−8x − 3(ax - 2) - 53
Since the coefficients of the x^2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
Your answer would be
B
