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The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

 Feb 21, 2019

There are two ways to solve this question. The faster way is to 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:


You should then multiply (−8x−3) and (ax−2) using FOIL.


Then, reduce on the right side of the equation


Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

 Feb 22, 2019

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