SAT Question 88867d37: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice C is correct. Applying the zero product property to the given equation yields three equations: $x+2=0$, $x-5=0$, and $x+9=0$. Subtracting $2$ from both sides of the equation $x+2=0$ yields $x=-2$. Adding $5$ to both sides of the equation $x-5=0$ yields $x=5$. Subtracting $9$ from both sides of the equation $x+9=0$ yields $x=-9$. Therefore, the solutions to the given equation are $-2$, $5$, and $-9$. It follows that a positive solution to the given equation is $5$.