Flashcard 9 - Math Flashcard Set for the SAT Exam

(blank) 2 / 3 or 2 / 3 (blank)

The left-hand side of the expression can be factored into \((3x – 2)(x + 2)\), yielding \((3x– 2)(x+ 2) = 0\). This means either \((3x – 2) = 0\), in which case \(x = \frac{2}{3}\) or \((x + 2) = 0\), meaning \(x = –2\). Since the problem stated that \(x \gt 0\), the value of x must be \(\frac{2}{3}\).