Answer
$x=\left\{ -1,3,\dfrac{9}{2} \right\}$
Work Step by Step
Equating each factor to zero (Zero Product Property), then
\begin{array}{l}\require{cancel}
x-3=0
\\\\\text{OR}\\\\
x+1=0
\\\\\text{OR}\\\\
2x-9=0
.\end{array}
Solving each equation results to
\begin{array}{l}\require{cancel}
x-3=0
\\\\
x=3
\\\\\text{OR}\\\\
x+1=0
\\\\
x=-1
\\\\\text{OR}\\\\
2x-9=0
\\\\
2x=9
\\\\
x=\dfrac{9}{2}
.\end{array}
Hence, the solutions are $
x=\left\{ -1,3,\dfrac{9}{2} \right\}
.$
