## Elementary Algebra

$x=\{ -1,0 \}$
Factoring out the $GCF= x ,$ the factored form of the given expression, $x^2+x=0 ,$ is \begin{array}{l}\require{cancel} x(x+1) =0 .\end{array} Equating each factor to zero, wo obtain: \begin{array}{l}\require{cancel} x=0 ,\\\\\text{OR}\\\\ x+1=0 \\\\ x=-1 .\end{array} Hence, the solution set is $x=\{ -1,0 \} .$
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