Problem: The number of real values of x that satisfy the equation (26x+3)(43x+6)=84x+5 is:
Answer Choices:
A. zero
B. one
C. two
D. three
E. greater than 3
Solution:
The given equation is equivalent to (26x+3)(22(3x+8))=23(4x+5)
The left side of this equation equals 26x+3â‹…26x+12=212x+15 and the right side is also equal to 212x+15, so that the given equality is an identity in x. It is, therefore, satisfied by any real value of x.