#### Answer

$x=\left\{ 1,6 \right\}$

#### Work Step by Step

Factoring the given equation, $
x^2-7x+6=0
,$ results to
\begin{array}{l}\require{cancel}
(x-6)(x-1)=0
.\end{array}
Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
(x-6)(x-1)=0
,$ is
\begin{array}{l}\require{cancel}
x-6=0
\\\\
x=6
,\\\\\text{OR}\\\\
x-1=0
\\\\
x=1
.\end{array}
Hence, $
x=\left\{ 1,6 \right\}
.$