Çözüldü Algebraic Rational Fractions and Integers

If the fraction (4x - 5) / (3x + 2) and its reciprocal are integers, what is the product of the values that x can hold?
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If a number and its reciprocal are integers that number is either 1 or -1.
Therefore, 4x - 5 = 3x + 2 ⇒ x1 = 7 or 4x - 5 = -(3x + 2) ⇒ x2 = 3 / 7
πx = x1·x2 = 7·(3 / 7) = 3