imc

Question

Find the value(s) of x such that 8xy - 12y + 2x - 3 = 0 is true for all values of y.

Accepted Answer

We have 8xy - 12y + 2x - 3 = 4y(2x - 3) + (2x - 3) = (4y + 1)(2x - 3). As (4y + 1)(2x - 3) = 0 must be true for all y, we must have 2x - 3 = 0, hence 32.