## Elementary Algebra

$x=\{ 0,8 \}$
Using the $GCF= x ,$ the factored form of the given expression, $x^2-8x=0 ,$ is \begin{array}{l}\require{cancel} x(x-8) =0 .\end{array} Equating each factor to zero, wo obtain: \begin{array}{l}\require{cancel} x=0 ,\\\\\text{OR}\\\\ x-8=0 \\\\ x=8 .\end{array} Hence, the solution set is $x=\{ 0,8 \} .$