Question

$(x-5)(x-7)=0$

the solution set is ${\boxed{\quad}}$.
(type integers or fractions. use a comma to separate answers as needed.)

Explanation:

Step1: Apply zero product property

If $(x-5)(x-7)=0$, then $x-5=0$ or $x-7=0$.

Step2: Solve for $x$ (first case)

$x-5=0 \implies x=5$

Step3: Solve for $x$ (second case)

$x-7=0 \implies x=7$

Answer:

$\{5, 7\}$