SAT Question 6bd40794: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Applying the zero product property to the given equation yields four equations: $x-16=0$, $x-10=0$, $x+7=0$, and $x+17=0$. Adding $16$ to both sides of the equation $x-16=0$ yields $x=16$. Adding $10$ to both sides of the equation $x-10=0$ yields $x=10$. Subtracting $7$ from both sides of the equation $x+7=0$ yields $x=-7$. Subtracting $17$ from both sides of the equation $x+17=0$ yields $x=-17$. Therefore, the solutions to the given equation are $16$, $10$, $-7$, and $-17$. It follows that there are two positive solutions to the given equation: $10$ and $16$. Note that 10 and 16 are examples of ways to enter a correct answer.