#### Answer

$x=\left\{ 0,7 \right\}$

#### Work Step by Step

Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
x(x-7)=0
,$ is
\begin{array}{l}
x=0
,\\\\\text{OR}\\\\
x-7=0
\\\\
x=7
.\end{array}
Hence, $
x=\left\{ 0,7 \right\}
.$